Tri-Quasi Ideals of Γ-Semirings
In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior i...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2021-05-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
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| Online Access: | https://doi.org/10.7151/dmgaa.1360 |
| _version_ | 1827834127492055040 |
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| author | Rao Marapureddy Murali Krishna |
| author_facet | Rao Marapureddy Murali Krishna |
| author_sort | Rao Marapureddy Murali Krishna |
| collection | DOAJ |
| description | In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring. Some charecterizations of Γ-semiring,regular Γ-semiring and simple Γ-semiring using tri-quasi ideals are given and study the properties of tri-quasi ideals of Γ-semiring. |
| first_indexed | 2024-03-12T05:44:33Z |
| format | Article |
| id | doaj.art-7c847a80135e4c32a72dd5337af2a9df |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T05:44:33Z |
| publishDate | 2021-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-7c847a80135e4c32a72dd5337af2a9df2023-09-03T05:42:15ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732021-05-01411334410.7151/dmgaa.1360Tri-Quasi Ideals of Γ-SemiringsRao Marapureddy Murali Krishna0Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045, A.P., IndiaIn this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring. Some charecterizations of Γ-semiring,regular Γ-semiring and simple Γ-semiring using tri-quasi ideals are given and study the properties of tri-quasi ideals of Γ-semiring.https://doi.org/10.7151/dmgaa.1360bi-quasi-interior idealbi-interior idealbi-quasi idealbi-idealquasi idealinterior idealregular γ-semiringtri-quasi simple γ-semiring16y6006y99 |
| spellingShingle | Rao Marapureddy Murali Krishna Tri-Quasi Ideals of Γ-Semirings Discussiones Mathematicae - General Algebra and Applications bi-quasi-interior ideal bi-interior ideal bi-quasi ideal bi-ideal quasi ideal interior ideal regular γ-semiring tri-quasi simple γ-semiring 16y60 06y99 |
| title | Tri-Quasi Ideals of Γ-Semirings |
| title_full | Tri-Quasi Ideals of Γ-Semirings |
| title_fullStr | Tri-Quasi Ideals of Γ-Semirings |
| title_full_unstemmed | Tri-Quasi Ideals of Γ-Semirings |
| title_short | Tri-Quasi Ideals of Γ-Semirings |
| title_sort | tri quasi ideals of γ semirings |
| topic | bi-quasi-interior ideal bi-interior ideal bi-quasi ideal bi-ideal quasi ideal interior ideal regular γ-semiring tri-quasi simple γ-semiring 16y60 06y99 |
| url | https://doi.org/10.7151/dmgaa.1360 |
| work_keys_str_mv | AT raomarapureddymuralikrishna triquasiidealsofgsemirings |