- 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
- Trace of canonical modules, annihilator of Ext, and classes of rings close to being Gorenstein
2020/05/05 by Hailong Dao, Dao, Hailong, Toshinori Kobayashi +3 · 1 citation
Mathematics · #13D07 #13H10 #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Annihilator #Class (philosophy) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Computer science #Conjecture #Dimension (graph theory) #FOS: Mathematics #Linguistics #Local ring #Mathematics #Pure mathematics #Ring (chemistry) #TRACE (psycholinguistics) #math.AC #msc:13D07 #msc:13H10
- 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
- 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
- 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)
- 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
- Characterizations of Regular Local Rings of Characteristic p
1969/07/01 by Ernst Kunz · 8 citations
Chemistry · Mathematics · #Advanced Topics in Algebra #Chemistry #Combinatorics #Finite Group Theory Research #Local ring #Mathematics #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras
- On the structure and ideal theory of complete local rings
1946/01/01 by I. S. Cohen, Ismael Cohen · 39 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Epistemology #Ideal (ethics) #Local ring #Mathematics #Maximal ideal #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras
- 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