Int-Soft (Generalized) Bi-Ideals of Semigroups

The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduc...

Descripción completa

Detalles Bibliográficos
Autores principales: Jun, Young Bae, Song, Seok-Zun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4325470/
https://www.ncbi.nlm.nih.gov/pubmed/25710051
http://dx.doi.org/10.1155/2015/198672
_version_ 1782356807587463168
author Jun, Young Bae
Song, Seok-Zun
author_facet Jun, Young Bae
Song, Seok-Zun
author_sort Jun, Young Bae
collection PubMed
description The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established.
format Online
Article
Text
id pubmed-4325470
institution National Center for Biotechnology Information
language English
publishDate 2015
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-43254702015-02-23 Int-Soft (Generalized) Bi-Ideals of Semigroups Jun, Young Bae Song, Seok-Zun ScientificWorldJournal Research Article The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established. Hindawi Publishing Corporation 2015 2015-01-29 /pmc/articles/PMC4325470/ /pubmed/25710051 http://dx.doi.org/10.1155/2015/198672 Text en Copyright © 2015 Y. B. Jun and S.-Z. Song. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jun, Young Bae
Song, Seok-Zun
Int-Soft (Generalized) Bi-Ideals of Semigroups
title Int-Soft (Generalized) Bi-Ideals of Semigroups
title_full Int-Soft (Generalized) Bi-Ideals of Semigroups
title_fullStr Int-Soft (Generalized) Bi-Ideals of Semigroups
title_full_unstemmed Int-Soft (Generalized) Bi-Ideals of Semigroups
title_short Int-Soft (Generalized) Bi-Ideals of Semigroups
title_sort int-soft (generalized) bi-ideals of semigroups
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4325470/
https://www.ncbi.nlm.nih.gov/pubmed/25710051
http://dx.doi.org/10.1155/2015/198672
work_keys_str_mv AT junyoungbae intsoftgeneralizedbiidealsofsemigroups
AT songseokzun intsoftgeneralizedbiidealsofsemigroups

Ejemplares similares