Representations of cyclically ordered semigroups

Rizky Rosjanuardi; Isnie Yusnitha; Sumanang Muhtar Gozali

doi:10.1051/matecconf/201819701002

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Representations of cyclically ordered semigroups

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Rizky Rosjanuardi, Isnie Yusnitha, Sumanang Muhtar Gozali

2018 MATEC Web of Conferences Vol. 197 Conference paper Cited by 9 SDG 16SDG 8

Abstract

Suppose G is a group. We equip the group G with a cyclic order in such a way so that P(G), the positive cone under the cyclic order of G is a semigroup.We construct a representation of the semigroup P(G) as isometries acting on a certainHilbert space. © The Authors, published by EDP Sciences, 2018.

Affiliations

Universitas Pendidikan Indonesia, Department of Mathematics Education FPMIPA, Bandung, Indonesia

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