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Lagrange Theorem for polygroups
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 1)Publication Date: 2015-03-01
Authors : alireza sedighi; mohammad hossein hosseini;
Page : 29-34
Keywords : polygroup? ?Lagrange theorem? ?isomorphism theorems? ?fundamental relation? ?heart of hypergroup?;
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Abstract
So far?, ?isomorphism theorems in hyperstructure were proved for different structures of polygroups?, ?hyperrings and etc?. ?In this paper?, ?the polygroups properties is studied with the introduction of a suitable equivalence relation?. ?We show that the above relation is strongly regular?. ?Our main purpose in the paper is investigating Lagrang theorem and other expressing of isomorphism theorems for polygroups?.
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