Derivations of the Algebra of Sections of Superalgebra Bundles
In this paper we review the concepts of the superalgebra, superderivation and some properties of them. We will define algebraic and differential superderivations on a superalgebra and will prove some theorems about them, Then we consider a superalgebra bundle, that is an algebra bundle which its fib...
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| Format: | Article |
| Language: | English |
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University of Tehran
2017-01-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_59402_f32119e82829a98e533fc51f625de48e.pdf |
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| _version_ | 1849730552690638848 |
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| author | N. Elyasi |
| author_facet | N. Elyasi |
| author_sort | N. Elyasi |
| collection | DOAJ |
| description | In this paper we review the concepts of the superalgebra, superderivation and some properties of them. We will define algebraic and differential superderivations on a superalgebra and will prove some theorems about them, Then we consider a superalgebra bundle, that is an algebra bundle which its fibers are superalgebras and then characterize the superderivations of the algebra of sections of that bundle. |
| format | Article |
| id | doaj-art-ea75b291217b4508b1d596b7d2450c81 |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-ea75b291217b4508b1d596b7d2450c812025-08-20T03:08:50ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142017-01-01281757859402Derivations of the Algebra of Sections of Superalgebra BundlesN. Elyasi0Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Islamic Republic of IranIn this paper we review the concepts of the superalgebra, superderivation and some properties of them. We will define algebraic and differential superderivations on a superalgebra and will prove some theorems about them, Then we consider a superalgebra bundle, that is an algebra bundle which its fibers are superalgebras and then characterize the superderivations of the algebra of sections of that bundle.https://jsciences.ut.ac.ir/article_59402_f32119e82829a98e533fc51f625de48e.pdfsuperalgebrasuperderivationalgebraic superderivationdifferential superderivation |
| spellingShingle | N. Elyasi Derivations of the Algebra of Sections of Superalgebra Bundles Journal of Sciences, Islamic Republic of Iran superalgebra superderivation algebraic superderivation differential superderivation |
| title | Derivations of the Algebra of Sections of Superalgebra Bundles |
| title_full | Derivations of the Algebra of Sections of Superalgebra Bundles |
| title_fullStr | Derivations of the Algebra of Sections of Superalgebra Bundles |
| title_full_unstemmed | Derivations of the Algebra of Sections of Superalgebra Bundles |
| title_short | Derivations of the Algebra of Sections of Superalgebra Bundles |
| title_sort | derivations of the algebra of sections of superalgebra bundles |
| topic | superalgebra superderivation algebraic superderivation differential superderivation |
| url | https://jsciences.ut.ac.ir/article_59402_f32119e82829a98e533fc51f625de48e.pdf |
| work_keys_str_mv | AT nelyasi derivationsofthealgebraofsectionsofsuperalgebrabundles |