Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Semigroups in which the radical of every interior ideal is a subsemigroup
Authors: W. Jantanan, C. Jumnongphan, N. Jaichot and R. Chinram
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Abstract
In this paper, we characterize when the radical $\sqrt{I}$ of every interior ideal $I$ of a semigroup $S$ is a subsemigroup of $S$. Also, the radical of every interior ideal (or right ideal or left ideal or quasi-ideal or ideal or bi-ideal or subsemigroup) of $S$ is an interior ideal (or a right ideal or a left ideal or a quasi-ideal or an ideal or a bi-ideal) of $S$.W. Jantanan, C. Jumnongphan and N. Jaichot
Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Muang, Buriram, 31000 Thailand
E-mail: , ,
R. Chinram Division of Computational Science, Faculty of Science, Prince of Songkla University,
Hat Yai, Songkhla, 90110 Thailand
E-mail:
Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Muang, Buriram, 31000 Thailand
E-mail: , ,
R. Chinram Division of Computational Science, Faculty of Science, Prince of Songkla University,
Hat Yai, Songkhla, 90110 Thailand
E-mail:
DOI
https://doi.org/10.56415/qrs.v31.05Fulltext
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Contents
- On the intersection ideal graph of semigroups
- On topological completely inverse AG**-groupoids
- A double construction of quadratic anticenter-symmetric Jacobi-Jordan algebras
- On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography
- Semigroups in which the radical of every interior ideal is a subsemigroup
- Branched covers induced by semisymmetric quasigroup homomorphisms
- General form of the automorphism group of bicyclic graphs
- Weakly quasi invo-clean rings
- On central digraphs constructed from left loops and loops
- Some types of interior filters in quasi-ordered semigroups
- Injective and projective poset acts
