Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 1, pp. 229-247 (2006)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



Regular generalized adjoint semigroups of a ring

Xiankun Du and Junlin Wang

Department of Mathematics, Jilin University, Changchun 130012, China; e-mail:

Abstract: 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 GA-semigroup 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.

© 2006 Heldermann Verlag
© 2006–2009 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition