Constructing large self--small modules

George Ciprian Modoi

Abstract


We give a method for constructing (possible large) self--small modules via epimorphisms of rings.

Keywords


self--small module, epimorphism of rings

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References


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

Arnold, D. M., Murley, C. E., Abelian groups, A, such that Hom(A,-) preserves direct sums of copies of A, Pacific J. Math., 56, (1975), 7--21.

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

Emmanouil I., Mittag--Leffler condition and the vanishing of lim,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.

Stenstrom B., Rings of Quotients, Springer Verlag, Berlin, Heidelberg, New York, 1975.




DOI: http://dx.doi.org/10.24193/subbmath.2019.1.01

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