Results 101 to 110 of about 21,877 (248)

Flat local morphisms of rings with prescribed depth and dimension

open access: yesAnalele 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

On the structure of some minimax-antifinitary modules

open access: yesKarpatsʹkì 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
doaj   +1 more source

Embedding Noetherian Rings in Artinian Rings

open access: yesJournal of Algebra, 2001
A well-known theorem of \textit{A. H. Schofield} [``Representation of rings over skew fields'', Lond. Math. Soc. Lect. Note Ser. 92, CUP, Cambridge (1985; Zbl 0571.16001)] asserts that an algebra \(A\) over a field can be embedded in a right Artinian ring if and only if there is a faithful Sylvester rank function on finitely presented \(A\)-modules. By
openaire   +1 more source

On the arithmetic of stable domains. [PDF]

open access: yesCommun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

A Note on Weakly S-Noetherian Rings [PDF]

open access: gold, 2020
Dong‐Kyu Kim, Jung Wook Lim
openalex   +1 more source

Subrings of I-rings and S-rings

open access: yesInternational 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 transfer homomorphisms of Krull monoids. [PDF]

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

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