D3-MODULES VERSUS D4-MODULES–APPLICATIONS TO QUIVERS
DK TÜTÜNCÜ, R TRIBAK - Glasgow Mathematical Journal, 2021 - cambridge.org
A module M is called a D4-module if, whenever A and B are submodules of M with M= A⊕ B
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …
Some remarks on Dedekind modules
S Karimzadeh, R Nekooei - Algebra Colloquium, 2012 - World Scientific
In this paper, we first obtain equivalent conditions for a module over a Prüfer domain and
derive properties of Dedekind modules over such a domain. We then obtain equivalent …
derive properties of Dedekind modules over such a domain. We then obtain equivalent …
[引用][C] Modules whose lattice of submodules is distributive
W Stephenson - Proceedings of the London Mathematical …, 1974 - academic.oup.com
Among commutative integral domains, Priifer domains are precisely those whose lattice of
ideals satisfies the distributive law, and the noetherian Priifer domains are precisely the …
ideals satisfies the distributive law, and the noetherian Priifer domains are precisely the …
On prime modules over pullback rings
SE Atani - Czechoslovak Mathematical Journal, 2004 - Springer
First, we give a complete description of the indecomposable prime modules over a
Dedekind domain. Second, if R is the pullback, in the sense of [9], of two local Dedekind …
Dedekind domain. Second, if R is the pullback, in the sense of [9], of two local Dedekind …
Modules which are isomorphic to their factor modules
G Oman, A Salminen - Communications in Algebra, 2013 - Taylor & Francis
Let R be commutative ring with identity and let M be an infinite unitary R-module. Call M
homomorphically congruent (HC for short) provided M/N≅ M for every submodule N of M for …
homomorphically congruent (HC for short) provided M/N≅ M for every submodule N of M for …
Dual CS-Rickart modules over Dedekind domains
R Tribak - Algebras and Representation Theory, 2020 - Springer
We study d-CS-Rickart modules (ie modules M such that for every endomorphism φ of M, the
image of φ lies above a direct summand of M) over Dedekind domains. The structure of d …
image of φ lies above a direct summand of M) over Dedekind domains. The structure of d …
Arithmetic modules over generalized Dedekind domains
IE Wijayanti, H Marubayashi, I Ernanto… - Journal of Algebra and …, 2022 - World Scientific
Let M be a finitely generated torsion-free module over a generalized Dedekind domain D. It
is shown that if M is a projective D-module, then it is a generalized Dedekind module and v …
is shown that if M is a projective D-module, then it is a generalized Dedekind module and v …
[PDF][PDF] Invertibility of multiplication modules III
MM Ali - New Zealand J. Math, 2009 - scholar.archive.org
All rings are commutative with identity and all modules are unital. We introduce and
investigate the concepts of generalized Dedekind modules and almost Dedekind modules …
investigate the concepts of generalized Dedekind modules and almost Dedekind modules …
Reflexive rings and subrings of a product of Dedekind domains
HP Goeters - Journal of Pure and Applied Algebra, 1999 - Elsevier
Reflexive rings and subrings of a product of Dedekind domains Page 1 JOURNAL OF PURE
AND APPLIED ALGEBRA Journal of Pure and Applied Algebra 137 (1999) 237-252 ELS&ER …
AND APPLIED ALGEBRA Journal of Pure and Applied Algebra 137 (1999) 237-252 ELS&ER …
Direct products of simple modules over Dedekind domains
C Santa-Clara, PF Smith - Archiv der Mathematik, 2004 - Springer
Direct products of simple modules over Dedekind domains Page 1 Arch. Math. 82 (2004) 8–12
0003–889X/04/010008–05 DOI 10.1007/s00013-003-0840-y © Birkhäuser Verlag, Basel, 2004 …
0003–889X/04/010008–05 DOI 10.1007/s00013-003-0840-y © Birkhäuser Verlag, Basel, 2004 …