Generalized Semi-$\pi$-Regular Rings
Received:November 13, 2006  Revised:March 23, 2007
Key Words: $GP$-injective rings   semi-$\pi$-regular rings   generalized semiregular rings   generalized semi-$\pi$-regular rings.
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 Author Name Affiliation YAN Xing Feng College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China LIU Zhong Kui College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China
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In this paper, the concept of right generalized semi-$\pi$-regular rings is defined. We prove that these rings are non-trival generalizations of both right $GP$-injective rings and semi-$\pi$-regular rings. Some properties of these rings are studied and some results about generalized semiregular rings and $GP$-injective rings are extended.