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arXiv: 1309.7493
In this paper we define and study quasipolar general rings (with or without identity) and extend many of the basic results to the wider class. We obtain some new characterizations of quasipolar and strongly $��$-regular elements by using quasipolar general rings. We see that quasipolar general rings lies between strongly $��$-regular and strongly clean general rings. Consequently, we prove that $R$ is pseudopolar if and only if $R$ is strongly $��$-rad clean and quasipolar.
18 pages
pseudopolar rings, (generalized) Drazin inverse, strongly clean general, Extensions of associative rings by ideals, quasipolar general rings, Mathematics - Rings and Algebras, Conditions on elements, strongly \(\pi\)-regular general rings, Rings and Algebras (math.RA), FOS: Mathematics, Theory of matrix inversion and generalized inverses, 16S70, 16U99, 15A09
pseudopolar rings, (generalized) Drazin inverse, strongly clean general, Extensions of associative rings by ideals, quasipolar general rings, Mathematics - Rings and Algebras, Conditions on elements, strongly \(\pi\)-regular general rings, Rings and Algebras (math.RA), FOS: Mathematics, Theory of matrix inversion and generalized inverses, 16S70, 16U99, 15A09
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