Let R be a commutative ring with nonzero identity and, S⊆ R be a multiplicatively closed
subset. An ideal P of R with P∩ S=∅ is called an S-prime ideal if there exists an (fixed) s∈ S …

Inspired by the interplay between the Zariski topology defined on the prime spectrum of a
commutative ring R and the ring theoretic properties of R in [3, 8, 18, 23, 25], we introduce in …

Here, we continue to characterize a recently introduced notion, le-modules RM over a
commutative ring R with unity [AK Bhuniya and M. Kumbhakar, Uniqueness of primary …

Let R be a commutative ring with identity. A unital R-module M is called a fully invariant
multiplication module provided for each fully invariant submodule L of M there exists an …

PRIMARY-LIKE SUBMODULES AND A SCHEME OVER THE PRIMARY-LIKE SPECTRUM OF
MODULES Page 1 Miskolc Mathematical Notes HU e-ISSN 1787-2413 Vol. 18 (2017), No. 2 …

An le-module M over a commutative ring R is a complete lattice ordered additive monoid
(M,≤,+) having the greatest element e together with a module like action of R. This article …

PRIMARY-LIKE SUBMODULES AND A SCHEME OVER THE PRIMARY-LIKE SPECTRUM OF
MODULES Page 1 Miskolc Mathematical Notes HU e-ISSN 1787-2413 Vol. 18 (2017), No. 2 …

A generalization of Artinian modules Page 1 Caspian Journal of Mathematical Sciences (CJMS)
University of Mazandaran, Iran http://cjms.journals.umz.ac.ir ISSN: 2676-7260 CJMS. 11(2)(2022) …

On the Prime Spectrum of Torsion Modules Page 1 Iranian Journal of Mathematical Sciences
and Informatics Vol. 15, No. 1 (2020), pp 53-63 DOI: 10.21859/IJMSI.15.1.53 On the Prime …

In last decades, the connectedness of some varieties of the prime spectra of a commutative
ring is investigated by many authors. Falting's connectedness theorem asserts that in an …