Adjoint regular rings

Henry E. Heatherly and Ralph P. Tucci

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-8

Abstract:

Let R be a ring. The circle operation is the operation a ∘ b = a + b − a b , for all a , b ∈ R . This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R . We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:701948

DOI: 10.1155/S0161171202109239

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