Commutativity with algebraic identities involving prime ideals
Commun. Korean Math. Soc.
Published online March 10, 2020
Hajar Elmir, Abdellah Mamouni, and lahcen Oukhtite
Faculty of Sciences andTechnology Errachidia, Faculty of Sciences andTechnology Fez
Abstract : The purpose 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 behavior of derivations satisfying algebraic identities involving prime
ideals. Furthermore, the characteristic of the quotient ring R/P has been
determined in some situations.
Keywords : derivations, prime ideals, commutativity.
MSC numbers : 16N60, 16W10, 16W25
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