Let M be an R-module. If for every submodule N of M, there exists an element r∈ R such that
N= rM, then we say that M is a principal ideal multiplication module. In this paper, the …

We state several conditions under which comultiplication and weak comultiplication
modules are cyclic and study strong comultiplication modules and comultiplication rings. In …

The aim of this paper is to study the conditions by which a P-prime submodule can be
expressed as a finite intersection or union of P-prime submodules. Also corresponding to …

Prime Submodules and Flat Modules Page 1 Acta Mathematica Sinica, English Series Jan.,
2007, Vol. 23, No. 1, pp. 147–152 Published online: Sep. 15, 2006 DOI: 10.1007/s10114-005-0813-0 …

In two articles, Anderson and Valdes-Leon generalized the theory of factorization in integral
domains to commutative rings with zero divisors and to modules. Here we investigate some …

Let R be a commutative ring with identity. An R-module M is said to be hollow, if the set of
maximal submodules of M is empty or for every maximal submodule N of M, and for every …

We generalise the concept of catenary rings to modules. We call an A-module M catenary if
for each pair of prime submodules K and L of M with K⊂ L all saturated chains of prime …

Zariski spaces of modules Page 1 Journal of Pure and Applied Algebra 217 (2013)
1187–1194 Contents lists available at SciVerse ScienceDirect Journal of Pure and Applied …

In this paper we investigate the radical formula in modules over arithmetical rings.
Particularly we prove that every module over a finite dimensional arithmetical ring and every …

Let R be a commutative ring and M be an R-module. We say that M is fully primary, if every
proper submodule of M is primary. In this paper, we state some characterizations of fully …