On zero-divisors of semimodules and semialgebras
P Nasehpour - Georgian Mathematical Journal, 2021 - degruyter.com
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 …
zero-divisors of semimodules and prove that under suitable conditions, the monoid …
The McCoy property in Ohm–Rush algebras
N Epstein - Beiträge zur Algebra und Geometrie/Contributions to …, 2020 - Springer
Abstract An Ohm–Rush algebra R → SR→ S is called McCoy if for any zero-divisor f in S, its
content c (f) has nonzero annihilator in R, because McCoy proved this when S= R x S= R x …
content c (f) has nonzero annihilator in R, because McCoy proved this when S= R x S= R x …
Eversible and reversible semigroups and semirings
P Nasehpour - Asian-European Journal of Mathematics, 2021 - World Scientific
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 …
and semirings. In particular, we discuss eversible and reversible semigroups and semirings …
Dedekind semidomains
P Nasehpour - arXiv preprint arXiv:1907.07162, 2019 - arxiv.org
We define Dedekind semidomains as semirings in which each nonzero fractional ideal is
invertible. Then we find some equivalent condition for semirings to being Dedekind. For …
invertible. Then we find some equivalent condition for semirings to being Dedekind. For …
Distinguished elements in semiring extensions
P Nasehpour - arXiv preprint arXiv:1811.02142, 2018 - arxiv.org
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 …
elements in semiring extensions such as amount, content, and monoid semialgebras. We …