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https://open.uns.ac.rs/handle/123456789/2011
Title: | Normal Ω-subgroups | Authors: | Bleblou O. Šešelja B. Tepavčević, Andreja |
Issue Date: | 1-Jan-2018 | Journal: | Filomat | Abstract: | © 2018, University of Nis. All rights reserved. Subgroups, congruences and normal subgroups are investigated for Ω-groups. These are lattice-valued algebraic structures, defined on crisp algebras which are not necessarily groups, and in which the classical equality is replaced by a lattice-valued one. A normal Ω-subgroup is defined as a particular class in an Ω-congruence. Our main result is that the quotient groups over cuts of a normal Ω-subgroup of an Ω-group G, are classical normal subgroups of the corresponding quotient groups over G. We also describe the minimal normal Ω-subgroup of an Ω-group, and some other constructions related to Ω-valued congruences. | URI: | https://open.uns.ac.rs/handle/123456789/2011 | ISSN: | 03545180 | DOI: | 10.2298/FIL1819699B |
Appears in Collections: | PMF Publikacije/Publications |
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