We prove McCoy's property for the zero-divisors of polynomials in semirings, investigate the
zero-divisors of semimodules and prove that under suitable conditions, the monoid …

Let $ M $ be an $ R $-module and $ S $ a semigroup. Our goal is to discuss zero-divisors of
the semigroup module $ M [S] $. Particularly we show that if $ M $ is an $ R $-module and …

Auslander modules | SpringerLink Skip to main content Advertisement SpringerLink Log in
Menu Find a journal Publish with us Search Cart 1.Home 2.Beiträge zur Algebra und …

We find strong relationships between the zero-divisor graphs of apparently disparate kinds
of nilpotent-free semigroups by introducing the notion of an Armendariz map between such …

The main purpose of this paper is to investigate the zero-divisors of semigroups with zero
and semirings. In particular, we discuss eversible and reversible semigroups and semirings …

This thesis concerns two topics. The first topic, that is related to the Dedekind-Mertens
Lemma, the notion of the so-called content algebra, is discussed in chapter 2. Let R be a …

In this paper, we investigate zero-divisor, nilpotent, idempotent, unit, small, and irreducible
elements in semiring extensions such as amount, content, and monoid semialgebras. We …