On generalized derivations involving prime ideals with involution
UDC 512.5 We study the structure of the quotient ${A}/{P}$, where ${A}$ is any ring with involution $*$ and ${P}$ is a prime ideal of ${A}$. With an aim to construct  a ring with involution of this kind, we study the behavior of generalized derivations satisfying the algebraic identitie...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7064 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512589294862336 |
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| author | Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi |
| author_facet | Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi |
| author_sort | Rehman, Nadeem ur |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:32Z |
| description | UDC 512.5
We study the structure of the quotient ${A}/{P}$, where ${A}$ is any ring with involution $*$ and ${P}$ is a prime ideal of ${A}$. With an aim to construct  a ring with involution of this kind, we study the behavior of generalized derivations satisfying the algebraic identities involving prime ideals. As a consequence, currently existing results in this field are enhanced. |
| doi_str_mv | 10.3842/umzh.v75i8.7064 |
| first_indexed | 2026-03-24T03:31:11Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7064 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:11Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-70642024-06-19T00:34:32Z On generalized derivations involving prime ideals with involution On generalized derivations involving prime ideals with involution Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi Prime ideal involution generalized derivations commutativity Mathematics Algebra UDC 512.5 We study the structure of the quotient ${A}/{P}$, where ${A}$ is any ring with involution $*$ and ${P}$ is a prime ideal of ${A}$. With an aim to construct  a ring with involution of this kind, we study the behavior of generalized derivations satisfying the algebraic identities involving prime ideals. As a consequence, currently existing results in this field are enhanced. УДК 512.5 Про узагальнені похідні, що включають перші ідеали з інволюцією Основна мета статті – вивчити структуру фактор-кільця  ${A}/{P}$, де ${A}$ – будь-яке кільце з інволюцією $*$, а ${P}$ – простий ідеал ${A }$. Для побудови  кільця з інволюцією такого типу досліджено поведінку узагальнених похідних, що задовольняють алгебраїчні тотожності з простими ідеалами. Як наслідок, поточні результати досліджень у цій області були покращені. Institute of Mathematics, NAS of Ukraine 2023-08-30 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7064 10.3842/umzh.v75i8.7064 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 8 (2023); 1068 - 1084 Український математичний журнал; Том 75 № 8 (2023); 1068 - 1084 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7064/9739 Copyright (c) 2023 Nadeem ur Rehman, Hafedh M. Alnoghashi, Motoshi Hongan |
| spellingShingle | Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi Rehman, Nadeem ur Alnoghashi, Hafedh M. Hongan, Motoshi On generalized derivations involving prime ideals with involution |
| title | On generalized derivations involving prime ideals with involution |
| title_alt | On generalized derivations involving prime ideals with involution |
| title_full | On generalized derivations involving prime ideals with involution |
| title_fullStr | On generalized derivations involving prime ideals with involution |
| title_full_unstemmed | On generalized derivations involving prime ideals with involution |
| title_short | On generalized derivations involving prime ideals with involution |
| title_sort | on generalized derivations involving prime ideals with involution |
| topic_facet | Prime ideal involution generalized derivations commutativity Mathematics Algebra |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7064 |
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