Semigrup reguler dengan transversal invers ideal kiri

THRESYE, Prof.Dr. Sri Wahyuni, MS

2006 | Tesis | S2 Matematika

Dalam penelitian ini akan dibahas hubungan antara semigrup reguler, semigrup invers, dan semigrup ortodoks terhadap konstruksi semigrup reguler S dengan transversal ideal kiri S o serta mengenal karakteristiknya. Penelitian ini juga membahas beberapa kongruensi khusus pada semigrup regular S dengan transversal invers ideal kiri S o yaitu semigrup invers kongruensi terkecil, kongruensi grup minimum dan maksimum idempoten-separating yang kongruensi pada S.

This Research is conducted to describe the relation between regular semigroup, inverse semigroup, and ortodox semigroup with the construction of regular semigroup S with a left ideal inverse transversal S o and to observe the characteristics. This research is also to study some special congruence on a regular semigroup S with a left ideal inverse transversal S o such as the smallest inverse semigroup congruence, the minimum group congruence, and the maximum idempotent-separating congruence on a regular semigroup S.

Kata Kunci : Semi Grup Reguler,Transversal Invers Ideal Kuasi, inverse transversal, quasi –ideal inverse transversals, congruence