Direct products of linearly compact primary rings
P. N. Anh (1986)
Rendiconti del Seminario Matematico della Università di Padova
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P. N. Anh (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Carl Faith (1989)
Publicacions Matemàtiques
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Zelmanowitz [12] introduced the concept of ring, which we call
Zaks, Abraham (1973)
Portugaliae mathematica
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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.
Michał Jaegermann, Jan Krempa (1972)
Fundamenta Mathematicae
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Artemovych, O.D. (2002)
Mathematica Pannonica
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Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Al-Ezeh, H. (1987)
International Journal of Mathematics and Mathematical Sciences
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