Results 81 to 90 of about 263 (184)

On Noetherian Rings

open access: yes, 2023
In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. With an emphasis on commutative Noetherianrings we examine their structure and properties, their relation to anotherspecial class of rings called Artinian rings and the ...
openaire   +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

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  

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  

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  

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  

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