Some properties of finite generalized-groups
In this article, we discuss the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the groups. Many scientists have investigated various a...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4396_a1f1f17e91de2540d99ddc7952f2c179.pdf |
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| _version_ | 1841560159634063360 |
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| author | Nosratollah Shajareh Poursalavati |
| author_facet | Nosratollah Shajareh Poursalavati |
| author_sort | Nosratollah Shajareh Poursalavati |
| collection | DOAJ |
| description | In this article, we discuss the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the groups. Many scientists have investigated various applications of generalized-groups. Notably, this algebraic structure has connections to the unified gauge theory. In this article, we investigate the structures and properties of generalized-groups, providing examples and results within this fascinating subject. Specially, we show that the generalized Lagrange Theorem may not be true for generalized-groups. |
| format | Article |
| id | doaj-art-08a6c4f9b8f147d9803f051f1837e28b |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-08a6c4f9b8f147d9803f051f1837e28b2025-01-04T19:29:49ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-0113410110710.22103/jmmr.2024.23326.16254396Some properties of finite generalized-groupsNosratollah Shajareh Poursalavati0Department of Pure Mathematics , Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranIn this article, we discuss the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the groups. Many scientists have investigated various applications of generalized-groups. Notably, this algebraic structure has connections to the unified gauge theory. In this article, we investigate the structures and properties of generalized-groups, providing examples and results within this fascinating subject. Specially, we show that the generalized Lagrange Theorem may not be true for generalized-groups.https://jmmrc.uk.ac.ir/article_4396_a1f1f17e91de2540d99ddc7952f2c179.pdfcompletely simple semigroupsgroupsgeneralized-groupsalgebraic structure |
| spellingShingle | Nosratollah Shajareh Poursalavati Some properties of finite generalized-groups Journal of Mahani Mathematical Research completely simple semigroups groups generalized-groups algebraic structure |
| title | Some properties of finite generalized-groups |
| title_full | Some properties of finite generalized-groups |
| title_fullStr | Some properties of finite generalized-groups |
| title_full_unstemmed | Some properties of finite generalized-groups |
| title_short | Some properties of finite generalized-groups |
| title_sort | some properties of finite generalized groups |
| topic | completely simple semigroups groups generalized-groups algebraic structure |
| url | https://jmmrc.uk.ac.ir/article_4396_a1f1f17e91de2540d99ddc7952f2c179.pdf |
| work_keys_str_mv | AT nosratollahshajarehpoursalavati somepropertiesoffinitegeneralizedgroups |