NEW FUZZY h-IDEALS IN HEMIRINGS

作者：Ma, Xueling^*; Zhan, Jianming

来源：University Politehnica of Bucharest Scientific Bulletin-series A-applied Mathematics and Physics, 2012, 74(1): 11-24.

• (Prime) h-ideal
• h-interior ideal
• h-hemiregular (h-semisimple) hemiring
• (is an element of(gamma), is an element of(gamma) V q(delta))-fuzzy (h-, h-interior) ideal

The concepts of (is an element of(gamma), is an element of(gamma) V q(delta))-fuzzy h-ideals and (is an element of(gamma), is an element of(gamma) V q(delta))-fuzzy Itinterior ideals in hemirings are introduced. Some new characterization theorems of these kinds of fuzzy h-ideals are also given. In particular, we investigate prime and strong prime (is an element of(gamma), is an element of(gamma) v q(delta))-fuzzy h-ideals in hemirings. Finally, we show that the h-hemiregular and h-semisimple hemirings can be described by using these kinds of fuzzy h-ideals.

• 出版日期2012
• 单位湖北民族大学