F-Hypergroups of Type U on the Right

Document Type : Original Scientific Paper

Authors

Department of Mathematics, Yazd University, Yazd, I. R. Iran

Abstract

In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity. Also, we will classify F-hypergroups of type U on the right of order 2 or 3 up to an isomorphism. Then, we will study cyclic F-semihypergroups and finally by using regular relations we construct right reversible quotient F-hypergroups.

Keywords

References

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Mathematics Interdisciplinary Research
Volume 5, Issue 4
December 2020
Pages 321-344

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