RESEARCH ARTICLE

Form of filters of semisimple modules and direct sums

Yu. Maturin

Institute of Physics,Mathematics and Computer Science, Drohobych Ivan Franko State Pedagogical University, Stryjska, 3, Drohobych 82100, Lviv Region, Ukraine

Abstract: Some collections of submodules of a module defined by certain conditions are studied. A generalization of the notion of radical (preradical) filter is considered. We study the form of filters of semisimple modules and direct sums.

Keywords: ring, module, filter.

MSC: 16D90, 16D10

Received: 16.10.2012
Revised: 14.08.2013

Language: English

Bibliographic databases:

•