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Rings satisfying certain conditions either on subsemigroups or on endomorphisms
Published online by Cambridge University Press: 09 April 2009
Abstract
We characterize rings whose multiplicative subsemigroups containing 0 and the additive inverse of each element are subrings. In addition we consider commutative rings for which every non-constant multiplicative endormorphism that preserves additive inverses is a ring endomorphism, and we show that they belong to one of three easily-described classes of rings.
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- Research Article
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- Copyright Australian Mathematical Society 1986
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