Abstract
Subgroups, congruences and normal subgroups are investigated for-groups.
These are latticevalued 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 ?-subgroup is defined as a
particular class in an ?-congruence. Our main result is that the quotient
groups over cuts of a normal ?-subgroup of an ?-group G?, are classical normal
subgroups of the corresponding quotient groups over G?. We also describe the
minimal normal ?-subgroup of an ?-group, and some other constructions related
to ?-valued congruences.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Cited by
3 articles.
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