New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings
In this article, we introduce new generators of a permuting <i>n</i>-derivations to improve and increase the action of usual derivation. We produce a permuting <i>n</i>-generalized semiderivation, a permuting <i>n</i>-semigeneralized semiderivation, a permuting &l...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/1/46 |
| _version_ | 1798000009379053568 |
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| author | Mehsin Jabel Atteya |
| author_facet | Mehsin Jabel Atteya |
| author_sort | Mehsin Jabel Atteya |
| collection | DOAJ |
| description | In this article, we introduce new generators of a permuting <i>n</i>-derivations to improve and increase the action of usual derivation. We produce a permuting <i>n</i>-generalized semiderivation, a permuting <i>n</i>-semigeneralized semiderivation, a permuting <i>n</i>-antisemigeneralized semiderivation and a permuting skew <i>n</i>-antisemigeneralized semiderivation of non-empty rings with their applications. Actually, we study the behaviour of those types and present their results of semiprime ring <i>R</i>. Examples of various results have also been included. That is, many of the branches of science such as business, engineering and quantum physics, which used a derivation, have the opportunity to invest them in solving their problems. |
| first_indexed | 2024-04-11T11:13:27Z |
| format | Article |
| id | doaj.art-ede6e947d23a4288bac598f3960b17f6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T11:13:27Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-ede6e947d23a4288bac598f3960b17f62022-12-22T04:27:25ZengMDPI AGSymmetry2073-89942019-12-011214610.3390/sym12010046sym12010046New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative RingsMehsin Jabel Atteya0Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, UKIn this article, we introduce new generators of a permuting <i>n</i>-derivations to improve and increase the action of usual derivation. We produce a permuting <i>n</i>-generalized semiderivation, a permuting <i>n</i>-semigeneralized semiderivation, a permuting <i>n</i>-antisemigeneralized semiderivation and a permuting skew <i>n</i>-antisemigeneralized semiderivation of non-empty rings with their applications. Actually, we study the behaviour of those types and present their results of semiprime ring <i>R</i>. Examples of various results have also been included. That is, many of the branches of science such as business, engineering and quantum physics, which used a derivation, have the opportunity to invest them in solving their problems.https://www.mdpi.com/2073-8994/12/1/46permuting semiderivationpermuting skew <i>n</i>-antisemigeneralized semiderivationsemiprime ringweak zero-divisoranticommutative ringsemicommutative ring |
| spellingShingle | Mehsin Jabel Atteya New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings Symmetry permuting semiderivation permuting skew <i>n</i>-antisemigeneralized semiderivation semiprime ring weak zero-divisor anticommutative ring semicommutative ring |
| title | New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings |
| title_full | New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings |
| title_fullStr | New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings |
| title_full_unstemmed | New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings |
| title_short | New Types of Permuting <i>n</i>-Derivations with Their Applications on Associative Rings |
| title_sort | new types of permuting i n i derivations with their applications on associative rings |
| topic | permuting semiderivation permuting skew <i>n</i>-antisemigeneralized semiderivation semiprime ring weak zero-divisor anticommutative ring semicommutative ring |
| url | https://www.mdpi.com/2073-8994/12/1/46 |
| work_keys_str_mv | AT mehsinjabelatteya newtypesofpermutinginiderivationswiththeirapplicationsonassociativerings |