Results 81 to 90 of about 252 (184)

The Existence of Gorenstein Injective Envelopes

open access: yesJournal of Mathematical Extension, 2015
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

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
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

On transfer homomorphisms of Krull monoids. [PDF]

open access: yesBoll Unione Mat Ital (2008), 2021
Geroldinger A, Kainrath F.
europepmc   +1 more source

COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

open access: yesRomanian Journal of Mathematics and Computer Science, 2015
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  

Filter Regular Sequence and Generalized Local Cohomology with Respect to a Pair of Ideals

open access: yesJournal of Mathematical Extension, 2012
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  

ON COMMUTATIVE GELFAND RINGS [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 1999
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  

Logarithmically regular morphisms. [PDF]

open access: yesMath Ann, 2021
Molcho S, Temkin M.
europepmc   +1 more source

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