Results 111 to 120 of about 2,667 (226)
Locally affine ring extensions of a Noetherian domain [PDF]
, 1972 If A ⊂ R A \subset R are integral domains with A noetherian, it is shown that if R is contained in an affine ring over A and if for each maximal ideal P of A with S = A ...
William Heinzer
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Criteria for a ring to have a left Noetherian left quotient ring [PDF]
, 2018 Two criteria are given for a ring to have a left Noetherian left quotient ring (to find a criterion was an open problem since 70's).
Bavula, V.V., V.V. Bavula
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Flat local morphisms of rings with prescribed depth and dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
doaj +1 more source
Primitive ideals and automorphisms of quantum matrices. [PDF]
, 2007 Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H. +3 more
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On the structure of some minimax-antifinitary modules
Karpatsʹkì Matematičnì Publìkacìï, 2015 Let $R$ be a ring and $G$ a group. An $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that $A/B$ is artinian.
V.A. Chupordia
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Faithful Noetherian modules [PDF]
, 1973 The Eakin-Nagata theorem says that if T T is a commutative Noetherian ring which is finitely generated as a module over a subring R R , then R R is also Noetherian.
Edward Formanek
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj +1 more source
On the arithmetic of stable domains. [PDF]
Commun Algebra, 2021 Bashir A, Geroldinger A, Reinhart A.
europepmc +1 more source
COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Romanian 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 transfer homomorphisms of Krull monoids. [PDF]
Boll Unione Mat Ital (2008), 2021 Geroldinger A, Kainrath F.
europepmc +1 more source