Herstein's theorem for prime ideals of semirings with involution
This article discusses differential identities involving Jordan and Lie products that connect an MA-semiring to its prime ideals. The main objective is to investigate how these identities impose various properties on the quotient MA-semiring determined by a prime ideal. In particular, we establish H...
Збережено в:
| Дата: | 2026 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2026
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1986 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1861680840599142400 |
|---|---|
| author | Ali, Liaqat Aslam, Muhammad |
| author_facet | Ali, Liaqat Aslam, Muhammad |
| author_sort | Ali, Liaqat |
| baseUrl_str | https://admjournal.luguniv.edu.ua/index.php/adm/oai |
| collection | OJS |
| datestamp_date | 2026-04-05T09:02:49Z |
| description | This article discusses differential identities involving Jordan and Lie products that connect an MA-semiring to its prime ideals. The main objective is to investigate how these identities impose various properties on the quotient MA-semiring determined by a prime ideal. In particular, we establish Herstein’s theorem for MA-semirings, which was previously proved for rings. |
| doi_str_mv | 10.12958/adm1986 |
| first_indexed | 2026-04-06T01:00:02Z |
| format | Article |
| id | admjournalluguniveduua-article-1986 |
| institution | Algebra and Discrete Mathematics |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-04-06T01:00:02Z |
| publishDate | 2026 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-19862026-04-05T09:02:49Z Herstein's theorem for prime ideals of semirings with involution Ali, Liaqat Aslam, Muhammad MA-semiring, derivation, prime ideal, Herstein's theorem 16Y60, 16W25, 16N60, 16U80 This article discusses differential identities involving Jordan and Lie products that connect an MA-semiring to its prime ideals. The main objective is to investigate how these identities impose various properties on the quotient MA-semiring determined by a prime ideal. In particular, we establish Herstein’s theorem for MA-semirings, which was previously proved for rings. Lugansk National Taras Shevchenko University This article is not supported or funded by any agency. 2026-04-05 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1986 10.12958/adm1986 Algebra and Discrete Mathematics; Vol 41, No 1 (2026) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1986/pdf Copyright (c) 2026 Algebra and Discrete Mathematics |
| spellingShingle | MA-semiring derivation prime ideal Herstein's theorem 16Y60 16W25 16N60 16U80 Ali, Liaqat Aslam, Muhammad Herstein's theorem for prime ideals of semirings with involution |
| title | Herstein's theorem for prime ideals of semirings with involution |
| title_full | Herstein's theorem for prime ideals of semirings with involution |
| title_fullStr | Herstein's theorem for prime ideals of semirings with involution |
| title_full_unstemmed | Herstein's theorem for prime ideals of semirings with involution |
| title_short | Herstein's theorem for prime ideals of semirings with involution |
| title_sort | herstein's theorem for prime ideals of semirings with involution |
| topic | MA-semiring derivation prime ideal Herstein's theorem 16Y60 16W25 16N60 16U80 |
| topic_facet | MA-semiring derivation prime ideal Herstein's theorem 16Y60 16W25 16N60 16U80 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1986 |
| work_keys_str_mv | AT aliliaqat hersteinstheoremforprimeidealsofsemiringswithinvolution AT aslammuhammad hersteinstheoremforprimeidealsofsemiringswithinvolution |