Yu. Maturin, “Form of filters of semisimple modules and direct sums”, Algebra Discrete Math., 2013, том 16, выпуск 2,страницы 226

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

Аннотация: 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.

Ключевые слова: ring, module, filter.

MSC: 16D90, 16D10

Поступила в редакцию: 16.10.2012
Исправленный вариант: 14.08.2013

Язык публикации: английский