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

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 Ω containing all real-valued summable functions on pℤ⊕{0} in which under convolution operation satisfi...

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Bibliographic Details
Main Authors: Albania, Imam Nugraha, Rosjanuardi, Rizky, Gozali, Sumanang Muhtar
Format: Conference Proceeding
Language:English
Subjects:
Axioms
Convolution
Group theory
Subgroups
Online Access:Get full text
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Summary: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 Ω containing all real-valued summable functions on pℤ⊕{0} in which under convolution operation satisfies abelian group axioms. Note that pℤ⊕{0} is a c-convex subgroup of pℤ⊕qℤ with respect to ℛ which is not trivial.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0205099