Some identities in quotient rings
Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we first investigate strong commutativity preservi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62481 |
| _version_ | 1827767689887612928 |
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| author | Mouhamadi El Hamdaoui Abdelkarim Boua Gurninder S. Sandhu |
| author_facet | Mouhamadi El Hamdaoui Abdelkarim Boua Gurninder S. Sandhu |
| author_sort | Mouhamadi El Hamdaoui |
| collection | DOAJ |
| description |
Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we first investigate strong commutativity preserving generalized derivations of prime rings, and then examine the generalized derivations acting as (anti)homomorphisms in prime rings. Some commutativity theorems also given in semi-prime rings.
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| first_indexed | 2024-03-11T12:02:31Z |
| format | Article |
| id | doaj.art-4857b719d7a14e97a49a382efa4174b3 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T12:02:31Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-4857b719d7a14e97a49a382efa4174b32023-11-07T20:12:03ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.62481Some identities in quotient ringsMouhamadi El Hamdaoui0Abdelkarim Boua1Gurninder S. Sandhu2Sidi Mohamed Ben Abdellah UniversitySidi Mohamed Ben Abdellah UniversityPatel Memorial National College Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we first investigate strong commutativity preserving generalized derivations of prime rings, and then examine the generalized derivations acting as (anti)homomorphisms in prime rings. Some commutativity theorems also given in semi-prime rings. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62481 |
| spellingShingle | Mouhamadi El Hamdaoui Abdelkarim Boua Gurninder S. Sandhu Some identities in quotient rings Boletim da Sociedade Paranaense de Matemática |
| title | Some identities in quotient rings |
| title_full | Some identities in quotient rings |
| title_fullStr | Some identities in quotient rings |
| title_full_unstemmed | Some identities in quotient rings |
| title_short | Some identities in quotient rings |
| title_sort | some identities in quotient rings |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62481 |
| work_keys_str_mv | AT mouhamadielhamdaoui someidentitiesinquotientrings AT abdelkarimboua someidentitiesinquotientrings AT gurninderssandhu someidentitiesinquotientrings |