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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| Datum: | 2023 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7064 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
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| DOI: | 10.3842/umzh.v75i8.7064 |