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 …

We say that a subset X of a left R-module M is weakly independent provided that whenever
a 1 x 1+⋯+ anxn= 0 for pairwise distinct elements x 1,…, xn form X, then none of a 1,…, an is …

In this paper, we prove the Grothendieck's Vanishing Theorem for finitely generated ideals
over almost Dedekind domains and show that there exists a non-finitely generated prime …

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 …

Throughout this article, all rings are commutative with identity and all modules are unitary.
Recall that an integral domain R is called a Dedekind domain if every proper ideal of R is a …

Let V be a module with S= End (V). V is called a quasi-Baer module if for each ideal J of S, r
V (J)= e V for some e 2= e∈ S. On the other hand, V is called a Rickart module if for each …

Let D be an integral domain, w be the so-called w-operation on D, and GV (D) be the set of
nonzero finitely generated ideals J of D with J− 1= D. Let I be aw-ideal of D, D/I be the factor …

In a Dedekind domain D, every non-zero proper ideal A factors as a product A= P 1 t 1⋯ P
ktk of powers of distinct prime ideals P i. For a Dedekind domain D, the D-modules D/P iti are …

Advances in Algebra and Model Theory Page 1 Divisible uniserial modules over valuation
domains Martin Ziegler Universitat Freiburg 79104 Freiburg, Germany Abstract We give a …

Given an R-module M, the centralizer near-ring ℳR (M) is the set of all functions f: M→ M
with f (xr)= f (x) r for all x∈ M and r∈ R endowed with point-wise addition and composition of …