EXTENSIONS OF STRONGLY π-REGULAR RINGS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 51, Issue 2, 2014, pp.555-565
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2014.51.2.555

Title & Authors

EXTENSIONS OF STRONGLY π-REGULAR RINGS

Chen, Huanyin; Kose, Handan; Kurtulmaz, Yosum;

Chen, Huanyin; Kose, Handan; Kurtulmaz, Yosum;

Abstract

An ideal I of a ring R is strongly -regular if for any there exist and such that . We prove that every strongly -regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any there exist two distinct m, such that . Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly -regular and for any , .

Keywords

strongly -regular ideal;B-ideal;periodic ideal;

Language

English

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