The Armendariz module and its application to the Ikeda-Nakayama module.
Koşan, M.Tamer (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Tensor products of near-ring modules. II.”
The Armendariz module and its application to the Ikeda-Nakayama module.
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Jan Trlifaj (1982)
Commentationes Mathematicae Universitatis Carolinae
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Embedding torsionless modules in projectives.
Carl Faith (1990)
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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.
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José L. Gómez Pardo (1989)
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Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Haily, A., Rahnaoui, H. (2007)
International Journal of Mathematics and Mathematical Sciences
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Products of small modules
Peter Kálnai, Jan Žemlička (2014)
Commentationes Mathematicae Universitatis Carolinae
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Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.