Open AccessConnections between Hv-S-act, GHS-act and S-act
Author(s) -
Salma Shaheen,
Muhammad Shabir
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1918777s
Subject(s) - mathematics , equivalence relation , quotient , equivalence class (music) , equivalence (formal languages) , relation (database) , connection (principal bundle) , class (philosophy) , pure mathematics , computer science , geometry , data mining , artificial intelligence
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.