- Quasi-injective dimension
2023/06/10 by Mohsen Gheibi · 2 citations
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Dimension (graph theory) #Dimension theory (algebra) #Discrete mathematics #Finitely-generated abelian group #Generalization #Global dimension #Homotopy and Cohomology in Algebraic Topology #Injective function #Injective module #Krull dimension #Mathematical analysis #Mathematics #Noetherian #Projective module #Pure mathematics
- 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
- Motivic mirror symmetry and χ‐independence for Higgs bundles in arbitrary characteristic
2022/05/30 by Victoria Hoskins, Hoskins, Victoria, Simon Pepin Lehalleur +1 · 1 citation
Mathematics · #Abelian group #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Algebraically closed field #Betti number #Coprime integers #Elliptic curve #Field (mathematics) #Higgs boson #Higgs field #Homotopy and Cohomology in Algebraic Topology #Invertible matrix #Mathematics #Mirror symmetry #Moduli space #Noetherian #Orbifold #Particle physics #Physics #Pure mathematics #Rank (graph theory) #Zero (linguistics)
- Completing perfect complexes
2020/04/13 by Henning Krause · 1 citation
Mathematics · #Abelian category #Abelian group #Advanced Topics in Algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Biproduct #Bounded function #Category of groups #Closed category #Concrete category #Derived category #Discrete mathematics #Finitely-generated abelian group #Functor #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Noetherian #Noetherian ring #Pure mathematics #Ring (chemistry) #Scheme (mathematics) #Triangulated category
- Differential Equation Invariance Axiomatization
2019/05/31 by André Platzer, Yong Kiam Tan · 11 citations
Computer Science · Mathematics · #Algebra over a field #Axiom #Completeness (order theory) #Differential (mechanical device) #Differential equation #Formal Methods in Verification #Invariant (physics) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #Noetherian #acm:F.3.1 #acm:F.4.1 #acm:G.1.7 #acm:I.2.3 #cs.LO #cs.PL #math.LO #msc:F.3.1 #msc:F.4.1 #msc:G.1.7 #msc:I.2.3
- Data structures for real multiparameter persistence modules
2017/09/24 by Ezra Miller, Miller, Ezra · 4 citations
Computer Science · Mathematics · #05E40 #06A07 #06A11 #06F05 #06F20 #13A02 #13D02 #13D07 #13E99 #13P20 #13P25 #14P10 #20M14 #55Nxx #68W30 #92D15 #Abelian group #Algebra over a field #Algebraic Topology (math.AT) #Algebraic number #Algebraic theory #Algorithm #Combinatorics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Discrete mathematics #FOS: Mathematics #Hilbert's syzygy theorem #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Morphism #Noetherian #Partially ordered set #Persistent homology #Pure mathematics #Representation Theory (math.RT) #Singular homology #Topological and Geometric Data Analysis #Topology (electrical circuits) #math.AC #math.AT #math.CO #math.RT #msc:05E40 #msc:06A07 #msc:06A11 #msc:06F05 #msc:06F20 #msc:13A02 #msc:13D02 #msc:13D07 #msc:13E99 #msc:13P20 #msc:13P25 #msc:14P10 #msc:20M14 #msc:55Nxx #msc:68W30 #msc:92D15
- Examples of finite free complexes of small rank and small homology
2017/06/07 by Srikanth B. Iyengar, Iyengar, Srikanth B., Mark E. Walker +1 · 4 citations
Mathematics · #Abelian group #Algebra over a field #Algebraic structures and combinatorial models #Biology #Combinatorics #Commutative property #Gene #Genetics #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Noetherian #Pure mathematics #Rank (graph theory) #math.AC #math.GR #msc:13D02 #msc:13D22 #msc:55M35 #msc:57S17
- 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
- Extrapolating an Euler class
2015/02/28 by Wilberd van der Kallen · 1 citation
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Combinatorics #Commutative Algebra and Its Applications #Dimension (graph theory) #Discrete mathematics #Euler characteristic #Euler number (physics) #Euler's formula #Homomorphism #Ideal (ethics) #Integer (computer science) #Mathematical analysis #Mathematics #Noetherian #Omega #Path (computing) #Physics #Pure mathematics #Rings, Modules, and Algebras #Unimodular matrix #math.KT #msc:19E20
- Lengths and multiplicities of integrally closed modules over a\n two-dimensional regular local ring
2014/12/03 by Vijay Kodiyalam, Kodiyalam, Vijay, Radha Mohan +1 · 2 citations
Chemistry · Mathematics · #13B21 #13B22 #13H05 #13H15 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Combinatorics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Composite material #Discrete mathematics #FOS: Mathematics #Field (mathematics) #Finitely-generated abelian group #Geometry #Integrally closed #Local ring #Materials science #Mathematics #Multiplicity (mathematics) #Noetherian #Pure mathematics #Regular local ring #Residue field #Ring (chemistry) #Torsion (gastropod) #math.AC #msc:13B21 #msc:13B22 #msc:13H05 #msc:13H15
- Euler class group of a Noetherian ring
2014/08/12 by M. K. Keshari, Manoj K. Keshari, Keshari, M. K. · 1 citation
Chemistry · Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Artificial intelligence #Chemistry #Class (philosophy) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Commutative property #Computer science #Dimension (graph theory) #Euler's formula #FOS: Mathematics #Global dimension #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Noetherian #Noetherian ring #Physics #Pure mathematics #Quantum mechanics #Ring (chemistry) #math.AC
- An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
2012/09/29 by V. V. Bavula, V.V. Bavula · 4 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic Geometry and Number Theory #Automorphism #Cellular algebra #Differential graded algebra #Division algebra #Endomorphism #Filtered algebra #Mathematics #Noetherian #Pure mathematics #Quaternion algebra #Symmetric algebra #Universal enveloping algebra #Weyl algebra
- Big projective modules over noetherian semilocal rings
2009/03/17 by Dolors Herbera, Pavel Příhoda, Herbera, Dolors +2 · 1 citation
Mathematics · #16D40 #16L30 #16P40 #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Commutative Algebra and Its Applications #Congruence relation #Crystallography #Diophantine equation #Discrete mathematics #FOS: Mathematics #Finitely-generated abelian group #Flat module #Isomorphism (crystallography) #Mathematics #Monoid #Noetherian #Order (exchange) #Projective module #Pure mathematics #Ring (chemistry) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D40 #msc:16L30 #msc:16P40
- Growth in the minimal injective resolution of a local ring
2008/12/31 by Lars Winther Christensen, Janet Striuli, Oana Veliche · 1 citation
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Discrete mathematics #Field (mathematics) #Injective function #Local ring #Mathematics #Noetherian #Noetherian ring #Pure mathematics #Residue field #Resolution (logic) #Ring (chemistry) #math.AC #msc:13D02 #msc:13D07 #msc:13H10
- Higher Algebraic K-Theory of Schemes and of Derived Categories
2007/10/20 by R. W. Thomason, Thomas Trobaugh · 12 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Mathematics #Noetherian #Pure mathematics #Commutative property #Discrete mathematics #Algebraic number #Scheme (mathematics) #Algebra over a field #Mathematical analysis
- Some results on local cohomology modules
2006/09/01 by Amir Mafi, Амир Мафи · 2 citations
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Discrete mathematics #Finitely-generated abelian group #Ideal (ethics) #Integer (computer science) #Local cohomology #Local ring #Mathematics #Noetherian #Noetherian ring #Pure mathematics #Ring (chemistry)
- The Quest for Quotient Rings (Of Noncommutative Noetherian Rings)
2003/04/01 by S. C. Coutinho, J. C. McConnell · 1 citation
Mathematics · Chemistry · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Noncommutative geometry #Quotient #Noetherian #Noncommutative ring #Mathematics #Pure mathematics #Algebra over a field #Ring (chemistry) #Chemistry
- Cofinite modules and local cohomology
1997/09/01 by Donatella Delfino, Thomas Marley · 5 citations
Computer Science · Mathematics · #Abelian category #Abelian group #Algebra over a field #Algebraic structures and combinatorial models #Associated prime #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Dimension (graph theory) #Finitely-generated abelian group #Flat module #Global dimension #Ideal (ethics) #Krull dimension #Local cohomology #Local ring #Mathematics #Noetherian #Noetherian ring #Polynomial and algebraic computation #Prime (order theory) #Prime ideal #Projective module #Pure mathematics #Regular local ring #Ring (chemistry) #Subcategory
- 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 and flat covers, envelopes and resolvents
1981/09/01 by Edgar E. Enochs · 1 citation
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Computer science #Dimension (graph theory) #Discrete mathematics #Divisible group #Envelope (radar) #Finitely-generated abelian group #Geometry #Horizontal line test #Injective function #Injective module #Mathematics #Module #Noetherian #Noetherian ring #Programming language #Pure mathematics #Resolution (logic) #Ring (chemistry) #Rings, Modules, and Algebras
- 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
- Subrings of Noetherian Rings
1974/11/01 by Edward Formanek, Arun Vinayak Jategaonkar · 1 citation
Mathematics · Chemistry · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models #Noetherian #Subring #Mathematics #Pure mathematics #Finitely-generated abelian group #Ring (chemistry) #Noetherian ring #Commutative property #Discrete mathematics #Artinian ring #Algebra over a field #Chemistry
- Jacobson's conjecture and modules over fully bounded Noetherian rings
1974/06/01 by Arun Vinayak Jategaonkar · 2 citations
Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Artinian ring #Bounded function #Commutative Algebra and Its Applications #Commutative property #Conjecture #Discrete mathematics #Finitely-generated abelian group #Homotopy and Cohomology in Algebraic Topology #Injective function #Injective module #Mathematical analysis #Mathematics #Noetherian #Noncommutative ring #Projective module #Pure mathematics #Ring (chemistry)
- A COUNTEREXAMPLE IN NOETHERIAN RINGS
1965/10/01 by I. N. Herstein · 4 citations
Biochemistry, Genetics and Molecular Biology · Environmental Science · Mathematics · Psychology · #Algebra over a field #Counterexample #Discrete mathematics #Education, Technology, and Ethics #Mathematics #Noetherian #Nuclear Structure and Function #Pure mathematics #Science Education and Perceptions
- Injective modules over Noetherian rings
1958/09/01 by Eben Matlis · 9 citations
Mathematics · #Algebra over a field #Commutative property #Cyclic group #Discrete mathematics #Divisible group #Finitely-generated abelian group #Flat module #Indecomposable module #Injective function #Injective module #Mathematics #Module #Noetherian #Noetherian ring #Noncommutative ring #Projective module #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Semisimple module #Simple (philosophy) #Simple module
- On the Structure and Ideal Theory of Complete Local Rings
1946/01/01 by I. S. Cohen · 5 citations
Mathematics · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Mathematics #Regular local ring #Krull dimension #Local ring #Maximal ideal #Commutative ring #Residue field #Principal ideal ring #Ideal (ethics) #Zero divisor #Ring (chemistry) #Discrete mathematics #Prime ideal #Dimension theory (algebra) #Principal ideal #Quotient ring #Combinatorics #Pure mathematics #Noetherian #Dimension (graph theory) #Prime (order theory) #Field (mathematics) #Commutative property #Algebra over a field