A Study of Decomposer and Related Functions on Groups
Decomposer functions in algebraic structures are studied in many recent papers. They have close relations to factorization by two subsets. Also, idempotent endomorphisms form a class of (strong) decomposer functions in groups. Now, if the algebraic structure is a group, then by introducing a typ...
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2015-09-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/328/234 |
| Summary: | Decomposer functions in algebraic structures are studied
in many recent papers. They have close relations to factorization by two
subsets. Also, idempotent endomorphisms form a class of (strong) decomposer
functions in groups. Now, if the algebraic structure is a group,
then by introducing a type of local homomorphisms we obtain several
properties and equivalent conditions for many classes of decomposer
functions and get a new result regarding to factorization of a group by
its two subsets. Moreover, we prove existence of (two-sided) decomposer
type functions in non-simple groups |
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| ISSN: | 1735-8299 1735-8299 |