Abstract
A subsetSof a ringRis a left semigroup ideal ofRifRS⊈ R, and a left ring ideal ofRif in additionSis a subring ofR. Gluskin (1960) investigated those rings with 1 which possess the property: (λ) every left semigroup ideal is a left ring ideal.
Publisher
Cambridge University Press (CUP)
Cited by
8 articles.
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1. Rings with a certain condition on subsemigroups;Semigroup Forum;1993-12
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. Associative rings;Journal of Soviet Mathematics;1980-07
4. Some factorable nil rings of characteristic two;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1979
5. Semigroup endomorphisms of rings;Journal of the Australian Mathematical Society;1978-11