Subrings of I-rings and S-rings.
Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Cohen-Macaulayness of multiplication rings and modules”
Subrings of I-rings and S-rings.
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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.
-rings and differential polynomials over universal fields
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