On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups

Minghao Hu and Xiaohong Zhang
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Minghao Hu: Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China
Xiaohong Zhang: Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China

Mathematics, 2022, vol. 10, issue 4, 1-30

Abstract: This paper introduces a new concept called cyclic associative semihypergroup (CA-semihypergroup). The relationships among CA-semihypergroups, Semihypergroups and LA-semihypergroups are studied through some interesting examples. The relationships among various NET-CA-semihypergroups are also studied. The main properties of strong pure neutrosophic extended triplet CA-semihypergroups (SP-NET-CA-semihypergroups) are obtained. In particular, the algorithm of a generated CA-semihypergroup of order tm+n by two known CA-semihypergroups of order m and n is proven, and a CA-semihypergroup of order 19 is obtained by using a Python program. Moreover, it is proven that five different definitions, which can all be used as the definition of SP-NET-CA-Semihypergroup, are equivalent.

Keywords: CA-semihypergroup; NET-CA-semihypergroup; SP-NET-CA-semihypergoup; semihypergroup; LA-semihypergroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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