STRUKTUR SEMILATTICE PADA PRA A ∗ -ALJABAR

Authors

  • Roza Ardilla

DOI:

https://doi.org/10.25077/jmu.3.1.58-62.2014

Abstract

Dalam tulisan ini dipelajari tentang struktur semilattice pada Pra A ∗ -Aljabar
( A, ∧ , ∨ , (·) ∼) yang dituliskan sebagai A¯. Didefinisikan sebuah operasi biner ∗ pada Pra
A ∗ -Aljabar dan ditunjukkan bahwa ( A,¯ ∗ ) adalah sebuah semilattice. Selanjutnya didefinisikan suatu relasi terurut parsial ≤ ∗ dan dibuktikan beberapa sifat pada suatu relasi
terurut parsial tersebut yang diinduksi dari struktur semilattice ( A,¯ ∗ ). Di samping itu
juga dikaji tentang nilai supremum dan nilai infimum dari beberapa sub himpunan pada
semilattice ( A,¯ ∗ ).

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Published

01-03-2014

Issue

Vol. 3 No. 1 (2014)

Section

Articles

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