Title of Article |
Semigroups in which the radical of every quasi-ideal is a subsemigroup |
Date of Acceptance |
2 November 2019 |
Journal |
Title of Journal |
Quasi-groups and Related Systems |
Standard |
SCOPUS |
Institute of Journal |
The Institute of Mathematics of the Moldavian Academy of Sciences and is printed in Poland |
ISBN/ISSN |
ISSN 1561-2848 |
Volume |
2020 |
Issue |
28 |
Month |
|
Year of Publication |
2021 |
Page |
301-308 |
Abstract |
For a non-empty subset $A$ of a semigroup $S$, $\sqrt{A}$ denotes the radical of $A$, i.e., $\sqrt{A} = \{x \in S \mid x^n \in A\ \text{for some positive integer} \ n \}$. This paper characterizes when the radical $\sqrt{Q}$ is a subsemigroup of $S$ for every quasi-ideal $Q$ of $S$.
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Keyword |
Semigroup, subsemigroups, radical, ideal, quasi-ideal, bi-ideal |
Author |
|
Reviewing Status |
มีผู้ประเมินอิสระ |
Status |
ตีพิมพ์แล้ว |
Level of Publication |
นานาชาติ |
citation |
false |
Part of thesis |
true |
Attach file |
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Citation |
0
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