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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Noviliani Noviliani
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Decision Sciences, Operations Research & Management Transportation

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STRUKTUR HEMIRING Noviliani Noviliani; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.816 KB) | DOI: 10.20527/epsilon.v15i1.2855

Abstract

Hemiring is a non-empty set  which is equipped with the addition operation " " and the multiplication operation " " and satisfied four conditions, namely:  is a commutative monoid with an identity element of ,  is semigroup, satisfied distributive properties the multiplication over addition on both sides, and satisfied    for each . There are several types of hemiring such as idempotent hemiring, zerosumfree hemiring, simple hemiring and others. In this paper, it discusses the sufficient and necessary conditions of a hemiring that is said to be commutative and said to be simple, prove the characteristics of the operation in zerosumfree hemiring, idempotent hemiring, and simple hemiring.
Co-Authors Hijriati, Naimah Saman Abdurrahman