A note on semigroups in rings

Author:

Ligh Steve

Abstract

Recently J. Cresp and R. P. Sullivan (1975) investigated those rings R with the following properties: (*) every multiplicative subsemigroup of R is a subring. (**) every multiplicative subsemigroup of R containing 0 is a subring. For rings with (*) they obtained the following characterization.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Ideals in rings and their multiplicative semigroups;Gluskin;Uspedni Mat. Nauk. (N. S.),1963

2. A Note on Mersenne Numbers

3. Semigroups in rings

4. On boolean near-rings

5. On Near Fields

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Associative rings;Journal of Soviet Mathematics;1987-08

2. Rings satisfying certain conditions either on subsemigroups or on endomorphisms;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1986-04

3. Research problems;Periodica Mathematica Hungarica;1977-09

4. Bibliography;Near-Rings - The Theory and its Applications;1977

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