- On normal subgroups of twisted Chevalley groups over commutative rings
2025/02/07 by Shripad M. Garge, Garge, Shripad M., Deep H. Makadiya +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Commutative property #Commutative ring #Congruence (geometry) #Finite Group Theory Research #Maximal torus #Normal subgroup #Normality #Product (mathematics) #Ring (chemistry) #Torus
- Restricted Minimum Condition in Reduced Commutative Rings
2022/10/16 by Dominik Krasula · 1 citation
Computer Science · Mathematics · #Algebra over a field #Artinian ring #Characterization (materials science) #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Global dimension #Krull dimension #Local ring #Mathematics #Nilpotent #Noetherian #Noetherian ring #Noncommutative ring #Polynomial and algebraic computation #Principal ideal ring #Pure mathematics #Regular local ring #Ring (chemistry) #Rings, Modules, and Algebras
- Locally Nilpotent Derivations of Graded Integral Domains and Cylindricity
2022/08/18 by Michael Chitayat, Daniel Daigle · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Affine transformation #Algebraic Geometry and Number Theory #Commutative property #Commutative ring #Discrete mathematics #Domain (mathematical analysis) #Element (criminal law) #Homogeneous polynomial #Locally nilpotent #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Nilpotent #Nilpotent group #Polynomial #Polynomial ring #Pure mathematics #Ring (chemistry) #Subring
- Mechanism Singularities Revisited from an Algebraic Viewpoint
2019/05/28 by Zijia Li, Li, Zijia, Andreas Müller +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebra over a field #Algebra representation #Algebraic geometry #Algebraic number #Commutative algebra #Commutative property #Commutative ring #Constraint (computer-aided design) #Constraint algebra #Dynamics and Control of Mechanical Systems #FOS: Computer and information sciences #Geometry #Gravitational singularity #Ideal (ethics) #Law #Mathematical analysis #Mathematics #Pure mathematics #Radical of an ideal #Robotic Mechanisms and Dynamics #Robotics (cs.RO) #cs.RO
- Idempotents in triangular matrix rings
2019/03/22 by Xin Hou · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Associative property #Combinatorics #Commutative ring #Diagonal #Geometry #Idempotence #Idempotent matrix #Identity (music) #Invertible matrix #Main diagonal #Mathematics #Matrix (chemical analysis) #Matrix ring #Primitive ring #Principal ideal ring #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Triangular matrix
- A real Nullstellensatz with multiplicity
2016/12/28 by James McEnerney · 1 citation
Engineering · Mathematics · #Advanced Topics in Algebra #Algorithm #Combinatorics #Commutative property #Commutative ring #Cone (formal languages) #Discrete mathematics #Ideal (ethics) #Mathematical analysis #Mathematics #Multiplicity (mathematics) #Pure mathematics #Rational number #Real number #Ring (chemistry) #Rings, Modules, and Algebras #Spectrum (functional analysis) #graph theory and CDMA systems
- Modules with chain conditions up to isomorphism
2016/03/02 by Alberto Facchini, Zahra Nazemian · 7 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Chain (unit) #Combinatorics #Commutative property #Commutative ring #Crystallography #Discrete mathematics #Finitely-generated abelian group #Ideal (ethics) #Isomorphism (crystallography) #Mathematics #Noetherian #Noetherian ring #Prime (order theory) #Principal ideal ring #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Semiprime #Semiprime ring
- Conditions for stable range of an elementary divisor rings
2015/08/29 by Bogdan Zabavsky, Zabavsky, Bogdan · 1 citation
Chemistry · Engineering · Mathematics · #13F07 #13G05 #16U60 #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Divisor (algebraic geometry) #Domain (mathematical analysis) #Elementary proof #Engineering #FOS: Mathematics #Mathematical analysis #Mathematics #Pure mathematics #Range (aeronautics) #Ring (chemistry) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Zero divisor #math.AC #math.RA #msc:13F07 #msc:13G05 #msc:16U60
- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
2015/05/22 by K. Cziszter, Cziszter, K., M. Domokos +4 · 7 citations
Computer Science · Mathematics · #11B30 #13A15 #13A50 #13F05 #14L24 #20M12 #Algebra over a field #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Commutative ring #Discrete mathematics #FOS: Mathematics #Factorization #Finite field #Ideal theory #Invariant (physics) #Invariant theory #Mathematics #Multiplicative function #Noether's theorem #Number Theory (math.NT) #Number theory #Polynomial and algebraic computation #Pure mathematics #Rings, Modules, and Algebras #Unique factorization domain #math.AC #math.CO #math.NT #msc:11B30 #msc:13A15 #msc:13A50 #msc:13F05 #msc:14L24 #msc:20M12
- Two generalizations of projective modules and their applications
2014/08/06 by Fanggui Wang, Hwankoo Kim, Hwankoo Kım · 6 citations
Mathematics · #Algebraic structures and combinatorial models #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Finitely-generated abelian group #Flat module #Invertible matrix #Mathematics #Projective module #Projective test #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Type (biology)
- On Domination in Zero-Divisor Graphs
2011/08/03 by Nader Jafari Rad, Sayyed Heidar Jafari, Doost Ali Mojdeh · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Category of rings #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Divisor (algebraic geometry) #Domination analysis #Graph #Mathematics #Principal ideal ring #Pure mathematics #Rings, Modules, and Algebras #Zero (linguistics) #Zero divisor
- ON THE STRUCTURE OF COMAXIMAL GRAPHS OF COMMUTATIVE RINGS WITH IDENTITY
2010/11/26 by Slavko Moconja, SLAVKO M. MOCONJA, ZORAN Z. PETROVIĆ +1 · 1 citation
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Chemistry #Combinatorics #Commutative property #Commutative ring #Counterexample #Discrete mathematics #Graph #Identity (music) #Mathematics #Pure mathematics #Relation (database) #Ring (chemistry) #Rings, Modules, and Algebras
- Galois cohomology of a number field is Koszul
2010/08/31 by Leonid Positselski · 6 citations
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number field #Algebraic structures and combinatorial models #Associated prime #Class (philosophy) #Combinatorics #Commutative Algebra and Its Applications #Commutative algebra #Commutative property #Commutative ring #Discrete mathematics #Field (mathematics) #Galois module #Mathematical proof #Mathematics #Modulo #Prime (order theory) #Prime ideal #Pure mathematics #Ring (chemistry) #math.KT #math.NT #math.RA
- The total graph of a commutative ring
2008/07/27 by David F. Anderson, Ayman Badawi, Ayman Badawı · 10 citations
Chemistry · Mathematics · #Advanced Topics in Algebra #Chemistry #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #Finite Group Theory Research #Graph #Mathematics #Nilpotent #Regular ring #Ring (chemistry) #Rings, Modules, and Algebras #Undirected graph #Von Neumann regular ring #Zero divisor
- Twisted planes
2007/12/26 by Jorge A. Guccione, Guccione, Jorge A., Juan J. Guccione +3 · 1 citation
Chemistry · Mathematics · #16W35 #81R60 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Associative property #Chemistry #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #FOS: Mathematics #Mathematical analysis #Mathematics #Power series #Pure mathematics #Quantum Algebra (math.QA) #Ring (chemistry) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Series (stratigraphy) #Unitary state #math.QA #math.RA #msc:16W35 #msc:81R60
- McCoy rings and zero-divisors
2007/08/22 by Victor Camillo, Pace P. Nielsen · 3 citations
Mathematics · #Abelian group #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category of rings #Commutative property #Commutative ring #Dedekind cut #Mathematics #Morita equivalence #Principal ideal ring #Property (philosophy) #Pure mathematics #Rings, Modules, and Algebras #Zero (linguistics) #Zero divisor
- Twisting commutative algebraic groups
2007/03/22 by Barry Mazur, B. Mazur, K. Rubin +3 · 6 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic group #Algebraic number #Commutative property #Commutative ring #Geometric and Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics
- Comaximal graph of commutative rings
2007/02/27 by Hamid Reza Maimani, Maryam Salimi, Asiyeh Sattari +1 · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #Distance-regular graph #Graph #Line graph #Mathematics #Rings, Modules, and Algebras #Social connectedness #Voltage graph
- On the diameter and girth of a zero-divisor graph
2006/11/21 by David F. Anderson, S. B. Mulay, S.B. Mulay · 5 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #Divisor (algebraic geometry) #Girth (graph theory) #Graph #Mathematical analysis #Mathematics #Polynomial #Polynomial ring #Rings, Modules, and Algebras #Zero (linguistics) #Zero divisor
- Commutativity conditions for rings: 1950–2005
2006/08/07 by James Pinter-Lucke · 1 citation
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Commutative property #Commutative ring #Geometry #Mathematical analysis #Mathematics #Polynomial #Polynomial ring #Product (mathematics) #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras
- Continuous modules are clean
2006/07/30 by Victor Camillo, V.P. Camillo, Dinesh Khurana +7 · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Class (philosophy) #Commutative Algebra and Its Applications #Commutative ring #Computer science #Discrete mathematics #Endomorphism #Endomorphism ring #Idempotence #Mathematics #Mathematics education #Primitive ring #Principal ideal ring #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Unit (ring theory) #Von Neumann regular ring
- Wheels – on division by zero
2004/02/01 by JESPER CARLSTRM · 2 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Logic, Reasoning, and Knowledge #Rings, Modules, and Algebras #Semiring #Axiom #Commutative ring #Mathematics #Commutative property #Ring (chemistry) #Noncommutative ring #Identity (music) #Pure mathematics #Division (mathematics) #Zero (linguistics) #Zero divisor #Element (criminal law) #Division ring #Algebra over a field #Geometry #Arithmetic #Physics #Law
- Abeliants and their application to an elementary construction of Jacobians
2002/12/01 by Greg W. Anderson · 1 citation
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic Geometry and Number Theory #Algebraically closed field #Applied mathematics #Commutative property #Commutative ring #Field (mathematics) #Invertible matrix #Jacobian matrix and determinant #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Polynomial #Polynomial and algebraic computation #Polynomial ring #Pure mathematics #Ring (chemistry) #Unit (ring theory)
- The Zero-Divisor Graph of a Commutative Ring
1999/07/01 by David F. Anderson, Philip S. Livingston · 69 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category of rings #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #Graph #Linguistics #Mathematics #Principal ideal ring #Pure mathematics #Rings, Modules, and Algebras #Zero (linguistics) #Zero divisor
- A Note on Graphical Representation of Rings
1995/08/01 by Pramod Kumar Sharma, P.K. Sharma, S.M. Bhatwadekar +1 · 8 citations
Mathematics · #Advanced Topics in Algebra #Chromatic scale #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Graph #Mathematics #Principal ideal ring #Reduced ring #Ring (chemistry) #Rings, Modules, and Algebras
- Ideals generated by powers of elements
1994/06/01 by D. D. Anderson, D.D. Anderson, Kent R. Knopp +1 · 1 citation
Computer Science · Mathematics · #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Finitely-generated abelian group #Ideal (ethics) #Law #Mathematics #Mathematics education #Maximal ideal #Minimal ideal #Polynomial and algebraic computation #Primary ideal #Principal ideal ring #Pure mathematics #Radical of an ideal #Ring (chemistry) #Rings, Modules, and Algebras #Unit (ring theory)
- Coloring of commutative rings
1988/07/01 by Istvan Beck, István Beck · 63 citations
Computer Science · Engineering · Mathematics · #Commutative property #Commutative ring #Graph Labeling and Dimension Problems #Mathematics #Pure mathematics #Rings, Modules, and Algebras #graph theory and CDMA systems
- A note on Jacobson's conjecture for right Noetherian rings
1982/01/01 by Ken A. Brown, T. H. Lenagan · 1 citation
Chemistry · Mathematics · #Algebra over a field #Associated prime #Combinatorics #Commutative ring #Conjecture #Counterexample #Discrete mathematics #Field (mathematics) #Finitely-generated abelian group #Jacobson radical #Mathematics #Noetherian #Noetherian ring #Philosophy #Prime (order theory) #Principal ideal ring #Pure mathematics #Radical of a ring #Ring (chemistry) #Synthesis and Properties of Aromatic Compounds #Zero (linguistics)
- Injective modules and prime ideals
1981/01/01 by Patrick F. Smith · 2 citations
Mathematics · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models #Mathematics #Injective function #Noetherian ring #Injective module #Homomorphism #Horizontal line test #Krull dimension #Noetherian #Prime ideal #Commutative ring #Pure mathematics #Associated prime #Commutative property #Prime (order theory) #Divisible group #Ideal (ethics) #Discrete mathematics #Radical of a ring #Ring (chemistry) #Principal ideal ring #Combinatorics #Algebra over a field #Geometry
- Perspectivity and cancellation in regular rings
1977/09/01 by David Handelman · 5 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Combinatorics #Commutative ring #Discrete mathematics #Element (criminal law) #Idempotence #Mathematics #Principal ideal ring #Pure mathematics #Regular ring #Ring (chemistry) #Rings, Modules, and Algebras #Transitive relation #Unit (ring theory) #Von Neumann architecture #Von Neumann regular ring
more