On derivations involving prime ideals and commutativity in rings
| Autor: | Abdellah Mamouni, Lahcen Oukhtite, M. Zerra |
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| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Ring (mathematics) Pure mathematics Mathematics::Commutative Algebra Mathematics::Number Theory General Mathematics Prime ideal 010102 general mathematics Structure (category theory) 01 natural sciences Prime (order theory) 010101 applied mathematics Computational Theory and Mathematics 0101 mathematics Statistics Probability and Uncertainty Algebraic number Commutative property Quotient Mathematics |
| Zdroj: | São Paulo Journal of Mathematical Sciences. 14:675-688 |
| ISSN: | 2316-9028 1982-6907 |
| DOI: | 10.1007/s40863-020-00187-z |
| Popis: | The principal aim of this paper is to study the structure of quotient rings R/P where R is an arbitrary ring and P is a prime ideal of R. Especially, we will establish a relationship between the structure of this class of rings and the behaviour of derivations satisfying algebraic identities involving prime ideals. Some well-known results characterizing commutativity of (semi)-prime rings have been generalized. |
| Databáze: | OpenAIRE |
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