Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)

SEMIGRUP REGULER DAN SIFAT-SIFATNYA

Istikaanah, Najmah (Unknown)
Wardayani, Ari (Unknown)
Renny, Renny (Unknown)
Nurahmadhani, Ambar Sari (Unknown)
Sb., Agustini Tripena Br. (Unknown)
Triyani, Triyani (Unknown)



Article Info

Publish Date
07 Dec 2021

Abstract

ABSTRACT. This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to groups, idempoten semigroups and invers semigroups. This article also discusses the Cartesian product of two regular semigroups where it is concluded that the Cartesian product of two regular semigroups is a regular semigroup, a group must be a regular semigroup. In addition, idempotent semigroups and inverse semigroups are also regular semigroups.Keywords: idempoten semigroup, inverse semigroup, regular semigroup, Cartesian product ABSTRAK. Artikel ini membahas tentang sifat-sifat semigrup reguler. Sifat-sifat ini khususnya berkenaan dengan keterkaitan semigrup reguler dengan grup, semigrup idempoten, dan semigrup invers. Pada artikel ini juga dibahas mengenai hasil kali Cartesius dari dua semigrup regular dimana diperoleh kesimpulan bahwa hasil kali Cartesius dua semigrup reguler merupakan semigrup reguler, suatu grup pasti merupakan semigrup regular. Selain itu, semigrup idempoten dan semigrup invers juga merupakan semigrup regular.Kata kunci: semigrup idempoten, semigrup invers, semigrup reguler, hasil kali kartesius.

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Journal Info

Abbrev

jmp

Publisher

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...