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RELATIONSHIP BETWEEN THE STRUCTURE OF A FACTOR RING R/P AND DERIVATIONS OF R

Lahcen Oukhtite|Karim Bouchannafa|Moulay Abdallah Idrissi
대한수학회 (The Korean Mathematical Society)|2023.09|대한수학회보 (Bulletin of the KMS)|제60권 제5호|pp. 1281-1293|DOI 10.4134/BKMS.b220654

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키워드

derivationscommutativityPrime idealsfactor ring
주제분류수학

초록

The purpose of this paper is to study the relationship between the structure of a factor ring $R/P$ and the behavior of some derivations of $R$. More precisely, we establish a connection between the commutativity of $R/P$ and derivations of $R$ satisfying specific identities involving the prime ideal $P$. Moreover, we provide an example to show that our results cannot be extended to semi-prime ideals.

Abstract

The purpose of this paper is to study the relationship between the structure of a factor ring $R/P$ and the behavior of some derivations of $R$. More precisely, we establish a connection between the commutativity of $R/P$ and derivations of $R$ satisfying specific identities involving the prime ideal $P$. Moreover, we provide an example to show that our results cannot be extended to semi-prime ideals.

참고문헌 (16)

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  15. L. Oukhtite, "Commutativity theorems for rings with differential identities on Jordan ideals", Comment. Math. Univ. Carolin, 54(4), pp.447~457 (2013)
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