Abstract
We investigate in this paper von Neumann regularity of rings whose maximal right ideals are GP-injective. Actually, it is proved that a ring R is strongly regular if and only if R is a 2-primal ring whose maximal right ideals are GP-injective. It is also proved that if R is a PI-ring whose maximal right ideals are GP-injective, then R is strongly π-regular.
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Kim, J.Y., Kim, N.K., Nam, S.B. (2001). Generalized Principally Injective Maximal Ideals. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_11
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DOI: https://doi.org/10.1007/978-1-4612-0181-6_11
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