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Ordering orders and quotient ringsстатья
- Авторы: Guterman A., Marki L., Shteyner P.
- Сборник: Semigroups, Categories, and Partial Algebras
- Серия: Springer Proceedings in Mathematics & Statistics (ISSN 2194-1017 electronic, ISSN 2194-1009 print)
- Том: 345
- Год издания: 2021
- Издательство: Springer Singapore
- Местоположение издательства: Singapore
- DOI: 10.1007/978-981-33-4842-4_1
- Аннотация: In the present paper, we introduce a general notion of quotient ring which is based on inverses along an element. We show that, on the one hand, this notion encompasses quotient rings constructed using various generalized inverses. On the other hand, such quotient rings can be viewed as Fountain-Gould quotient rings with respect to appropriate subsets. We also investigate the connection between partial order relations on a ring and on its ring of quotients.
- Добавил в систему: Гутерман Александр Эмилевич