[PDF][PDF] Presentations of modules over local domains

L Salce, P Zanardo - Journal of Algebra, 1998 - core.ac.uk
This paper provides a positive and a negative result concerning presentations of modules.
The positive result is a characterization of strongly Ž. isomorphic presentations see the …

Note on valuation rings and semistar-operations

R Matsuda - Communications in Algebra, 2000 - Taylor & Francis
Note on valuation rings and semistar-operations Page 1 COMMUNICATIONS IN ALGEBRA,
28(5), 2515-25 19 (2000) NOTE ON VALUATION RINGS AND SEMISTAR-OPERATIONS RY …

On locally pseudovaluation domains

M Kanemitsu - Hiroshima Mathematical Journal, 1987 - projecteuclid.org
The purpose of this paper is to study locally pseudo-valuation domains which are
quasinormal domains. In particular, we give some results on locally pseudovaluation …

[引用][C] Decomposing a projective module and several submodules

LS Levy - Advances in Mathematics, 1976 - Elsevier
Let L,,..., L, be submodules of a finitely generated, projective module M over a (commutative)
integral domain R. Is there a decompositionM= Ml@* a* CiJ M,, with each Mi of rank 1, which …

Permutation representations of the orbits of the automorphism group of a finite module over discrete valuation ring

CP Anil Kumar - Proceedings-Mathematical Sciences, 2017 - Springer
Consider a discrete valuation ring R whose residue field is finite of cardinality at least 3. For
a finite torsion module, we consider transitive subsets O under the action of the …

Locally cyclic modules over a valuation rings.“

SD Berman, NI Vishnyakova - Representation theory, group rings …, 1989 - books.google.com
In this article we give a complete characterization of all locally cyclic modules—and, in
particular, all faithful and all divisible locally cyclic modules—over a valuation ring of …

[PDF][PDF] Endomorphism rings of torsion-free modules over a complete discret valuation ring.

B Goldsmith - 1978 - arrow.tudublin.ie
Our object in this paper is to characterize all the rings which can occur as endomorphism
rings of reduced torsion-free modules over a complete discrete valuation ring. A complete …

On Tight Submodules of Modules over Valuation Domains

P Danchev, L Fuchs - arXiv preprint arXiv:2301.13675, 2023 - arxiv.org
This note offers an unusual approach of studying a class of modules inasmuch as it is
investigating a subclass of the category of modules over a valuation domain. This class is far …

[PDF][PDF] On -modules over valuation rings

P Zanardo - Rendiconti del Seminario Matematico della Università …, 1990 - numdam.org
The problem of investigating*-modules over valuation rings was proposed to the author by
C. Menini. We recall the definition of*-module, given by D'Este in [3]. Let. R be a ring, RM a …

On a conjecture regarding nonstandard uniserial modules

PC Eklof, S Shelah - Transactions of the American Mathematical Society, 1993 - ams.org
ON A CONJECTURE REGARDING NONSTANDARD UNISERIAL MODULES Page 1
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 340, Number 1 …