Constructing large self-small modules

Authors

  • George Ciprian MODOI Babe¸s-Bolyai University Faculty of Mathematics and Computer Science 1, Mihail Kog˘alniceanu, 400084 Cluj-Napoca, Romania, e-mail: cmodoi@math.ubbcluj.ro https://orcid.org/0000-0001-7603-2867

DOI:

https://doi.org/10.24193/subbmath.2019.1.01

Keywords:

Self-small module, epimorphism of rings.

Abstract

We give a method for constructing (possible large) self-small modules via some special homomorphisms of rings, called here weak epimorphisms.

Mathematics Subject Classification (2010): 16D99, 20K40.

References

Albrecht, U., Breaz, S., Wickless, W., Self-small abelian groups, Bull. Aust. Math. Soc., 80(2009), 205-216.

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Breaz, S., Zˇemliˇcka, J., When every self-small module is finitely generated, J. Algebra, 315(2007), 885-893.

Emmanouil, I., Mittag-Leffler condition and the vanishing of lim1, Topology, 35(1996), ←267-271.

Fuchs, L., Infinite Abelian Groups, vol. I, Academic Press, 1970.

Ringel, C.M., Algebraically compact modules arising from tubular families. A survey, Algebra Colloq., 11(2004), 155-172.

Stenstro¨m, B., Rings of Quotients, Springer Verlag, Berlin, Heidelberg, New York, 1975.

Zˇemliˇcka, J., When products of self-small modules are self-small, Comm. Alg., 36(2008), 2570-2576.

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Published

2019-03-20

How to Cite

MODOI, G. C. (2019). Constructing large self-small modules. Studia Universitatis Babeș-Bolyai Mathematica, 64(1), 3–10. https://doi.org/10.24193/subbmath.2019.1.01

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