Subrings of I-rings and S-rings.
Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Koşan, M.Tamer (2006)
International Journal of Mathematics and Mathematical Sciences
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Carl Faith (1990)
Publicacions Matemàtiques
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In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring R is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.
Zaks, Abraham (1973)
Portugaliae mathematica
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Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Jan Trlifaj (1982)
Commentationes Mathematicae Universitatis Carolinae
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Ashish K. Srivastava (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article presents a brief survey of the work done on rings generated by their units.
Haily, A., Rahnaoui, H. (2007)
International Journal of Mathematics and Mathematical Sciences
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