Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 229247 (2006) 

Regular generalized adjoint semigroups of a ringXiankun Du and Junlin WangDepartment of Mathematics, Jilin University, Changchun 130012, China; email: duxk@jlu.edu.cnAbstract: In this paper, we characterize a ring with a generalized adjoint semigroup having a property $\mathbf{P}$ and such generalized adjoint semigroups, where $\mathbf{P}$ stands for orthodox, right inverse, inverse, pseudoinverse, $E$unitary, and completely simple, respectively. Surprisingly, if $R$ has a GAsemigroup with a property $\mathbf{P}$, then the adjoint semigroup of $R$ has the property $\mathbf{P}$. Keywords: circle multiplication, generalized adjoint semigroup, orthodox semigroup, inverse semigroup Classification (MSC2000): 16N20, 16Y99, 20M25 Full text of the article:
Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.
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