4.3 Article

Applications of the gamma*-relation to polygroups

Journal

COMMUNICATIONS IN ALGEBRA
Volume 35, Issue 9, Pages 2698-2706

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/00927870701353217

Keywords

derived hypergroup; hypergroup; polygroup; gamma*-relation; strongly regular relation

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The gamma*-relation was introduced by Freni. In this article, we use the gamma*-relation in a given polygroup. In this way, the gamma*-relation is the smallest equivalence relation on a polygroup P such that P/gamma* is an abelian group. Results are obtained on extension polygroups, derived hypergroups, gamma-parts, and semi-direct hyperproduct.

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