Development of a module structure through the convolution on cyclically ordered group

Imam Nugraha Albania; Rizky Rosjanuardi; Sumanang Muhtar Gozali

doi:10.1063/5.0205099

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Development of a module structure through the convolution on cyclically ordered group

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Imam Nugraha Albania, Rizky Rosjanuardi, Sumanang Muhtar Gozali

2024 AIP Conference Proceedings Vol. 3095 Issue 1 Conference paper Cited by 0 SDG 16

Abstract

Let Z? Z be a group equipped with partial order denoted by » and R(a, b, c) be a ternary relation on group Z? Z derived by ». On our study, the ternary relation R is not total. We constructed the set ? containing all real-valued summable functions on p Z?{0} in which under convolution operation satisfies abelian group axioms. Note that p Z?{0} is a c-convex subgroup of p Z?q Z with respect to R which is not trivial. © 2024 Author(s).

Affiliations

Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudhi No 229, West Java, Bandung, 40154, Indonesia

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