- 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
- Lengths and multiplicities of integrally closed modules over a\n two-dimensional regular local ring
2014/12/03 by Vijay Kodiyalam, Radha Mohan, Kodiyalam, Vijay +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
- 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
- On the Structure and Ideal Theory of Complete Local Rings
1946/01/01 by I. S. Cohen · 4 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