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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 2, Pages 226–232
(Mi adm449)
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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.
Received: 16.10.2012 Revised: 14.08.2013
Citation:
Yu. Maturin, “Form of filters of semisimple modules and direct sums”, Algebra Discrete Math., 16:2 (2013), 226–232
Linking options:
https://www.mathnet.ru/eng/adm449 https://www.mathnet.ru/eng/adm/v16/i2/p226
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Statistics & downloads: |
Abstract page: | 175 | Full-text PDF : | 80 | References: | 44 |
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