Results 81 to 90 of about 252 (184)
The Existence of Gorenstein Injective Envelopes
Let R be a commutative Noetherian ring. We prove that every R-module N of finite Gorenstein injective dimension has a Gorenstein injective envelope ψ : N → G where injective dimension of Ker ψ is finite and ψ is injective.
Z. Heidarian
doaj
Local Cohomology Modules and Relative Cohen-Macaulayness
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj +1 more source
Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Fadinger-Held V, Frisch S, Windisch D.
europepmc +1 more source
On transfer homomorphisms of Krull monoids. [PDF]
Geroldinger A, Kainrath F.
europepmc +1 more source
COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj
Unlikely intersections on the p-adic formal ball. [PDF]
Serban V.
europepmc +1 more source
Filter Regular Sequence and Generalized Local Cohomology with Respect to a Pair of Ideals
Let (R, m) be a Noetherian local ring. Two notions of filter regular sequence and generalized local cohomology module with respect to a pair of ideals are introduced, and their properties are studied.
F. Dehghani-Zadeh
doaj
Matroid connectivity and singularities of configuration hypersurfaces. [PDF]
Denham G, Schulze M, Walther U.
europepmc +1 more source
ON COMMUTATIVE GELFAND RINGS [PDF]
A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite ...
doaj

