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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …