ONE EXAMPLE OF THE ENDOMORPHISM RING OF A SERIAL MODULE
Abstract
We construct an example of a serial module, whose endomorphism ring modulo by its Jacobson radical is neither von Neumann regular nor one-sided self-injective. This solves a problem posed by Alberto Facchini.
References
1. Facchini A. Module Theory: Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules, Progress in Mathematics, Birkhauser, 1998. Vol. 167.
2. Ware R., Zelmanowitz J. // Proc. Amer. Math. Soc. 1970. Vol. 26. P. 15-20.
3. Фейс К. Алгебра: кольца, модули и категории. М., 1979. T. 2.
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