Connections between Hv-S-Act, GHS-Act and S-Act
Filomat, Tome 33 (2019) no. 18, p. 5777

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The largest class of hyperstructures is the one which satisfies the weak properties and they are called Hv-structures. In this paper, the concept of Hv-S-act is introduced and some of their properties are investigated. The present paper establishes a possible connection between S-act, GHS-act and Hv-S-act. It is shown that the quotient of GHS-act with any equivalence relation is Hv-S-act. The main tool to study all hyperstructures is the fundamental relations. The study of fundamental relations in Hv-S-act reveals some interesting results. Specifically, these relations connect weak hyperactions with the corresponding classical actions
DOI : 10.2298/FIL1918777S
Classification : 16W22, 20N20
Keywords: Hypermonoid, Hv-S-act, Absorbing and fixed elements, GHS-act, S-act, Fundamental relations
Salma Shaheen; Muhammad Shabir. Connections between Hv-S-Act, GHS-Act and S-Act. Filomat, Tome 33 (2019) no. 18, p. 5777 . doi: 10.2298/FIL1918777S
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     title = {Connections between {Hv-S-Act,} {GHS-Act} and {S-Act}},
     journal = {Filomat},
     pages = {5777 },
     year = {2019},
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     number = {18},
     doi = {10.2298/FIL1918777S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918777S/}
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