SEMIGRUP REGULER DAN SIFAT-SIFATNYA

(REGULAR SEMIGROUP AND ITS PROPERTIES)

  • Najmah Istikaanah Department of Mathematics, Jenderal Soedirman University
  • Ari Wardayani Department of Mathematics, Jenderal Soedirman University
  • Renny Renny Department of Mathematics, Jenderal Soedirman University
  • Ambar Sari Nurahmadhani Department of Mathematics, Jenderal Soedirman University
  • Agustini Tripena Br. Sb. Department of Mathematics, Jenderal Soedirman University
  • Triyani Triyani Department of Mathematics, Jenderal Soedirman University
DOI: https://doi.org/10.20884/1.jmp.2021.13.2.4968

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.

Published
2021-12-07
How to Cite
ISTIKAANAH, Najmah et al. SEMIGRUP REGULER DAN SIFAT-SIFATNYA. Jurnal Ilmiah Matematika dan Pendidikan Matematika, [S.l.], v. 13, n. 2, p. 71-80, dec. 2021. ISSN 2550-0422. Available at: <http://jos.unsoed.ac.id/index.php/jmp/article/view/4968>. Date accessed: 20 apr. 2024. doi: https://doi.org/10.20884/1.jmp.2021.13.2.4968.
Citation Formats
Issue
Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Section
Articles

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