Some results on Greens relations in direct sum and product of rings

Cela, Florion (2018) Some results on Greens relations in direct sum and product of rings. Journal of Natural Sciences and Mathematics of UT, 3 (5-6). pp. 203-207. ISSN 2671-3039

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Florion Cela Article . Tetove 2018.pdf

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Abstract

Green’s relations in a semigroup are successful tools for studying their properties. These relations are introduced and studied also in rings. It is wellknown that every ring can be represented as a sub-direct sum of subdirectly irreducible rings. Our aim in this paper is to find the connection of Green’s relations on direct sum and direct product of rings related to Green’s relations in its components.

Item Type: Article
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Unnamed user with email zshi@unite.edu.mk
Date Deposited: 05 Jun 2019 08:34
Last Modified: 05 Jun 2019 08:34
URI: http://eprints.unite.edu.mk/id/eprint/163

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