Dualities over compact rings
Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Daniel Simson (1991)
Fundamenta Mathematicae
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Enrico Gregorio (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Putcha, Mohan S., Yaqub, Adil (1981)
Portugaliae mathematica
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Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Jan Trlifaj (1982)
Commentationes Mathematicae Universitatis Carolinae
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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.