JP Journal of Algebra, Number Theory and Applications
Volume 31, Issue 2, Pages 143 - 149
(December 2013)
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SEMIHOMOMORPHISMS ON ABELIAN GROUPS
A. A. Abdelkarim
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Abstract: Inthisnote,wedefineanm-semihomomorphismfonan Abelian group as a function satisfying for some element a. We prove that the set of all m-semihomorphisms on Q, or p is a prime, is a commutative inverse semigroup and compute its order in case of Then we compute the semigroup of 2-semihomorphisms on a general
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Keywords and phrases: m-semihomomorphism, Abelian group. |
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