(m, n)-扶正器有限环的研究

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2023-01-01 DOI:10.47743/anstim.2023.00009

Tai Chong Chan, Kiat Tat Qua, Denis Chee, Keong Wong

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A study on (m, n)-centralizer finite rings

For any m distinct elements r 1 ,r 2 , ··· ,r m in a ring R , the m -element central-izer of { r 1 ,r 2 , ··· ,r m } in R is defined as C R ( { r 1 ,r 2 , ··· ,r m } ) = { s ∈ R | sr 1 = r 1 s,sr 2 = r 2 s,...,sr m = r m s } , where m ∈ N with m ⩾ 2. We define the set of all distinct m -element centralizers in a ring R by m − Cent( R ), where m ∈ N with m ⩾ 2. Further, R is called ( m,n )-centralizer ring if | m − Cent( R ) | = n , where n ∈ N . In this paper, we characterize some of the ( m,n )-centralizer finite rings for n ⩽ 7.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.