On uni-soft p-semisimple ideals and uni-soft strong ideals in BCI-algebras

Document Type : Original Article


1 Department of Mathematics, Faculty of Mathematical and Sciences, Shahid Chamran University of Ahvaz, Ahvaz, Iran

2 Department of Mathematics Education, Chinju National University of Education, Jinju, Korea

3 UniveDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabiarsity of Tabuk


In this paper, the notions of uni-soft p-semisimple ideals and uni-soft strong ideals in BCI-algebras are introduced and related properties are investigated. Some conditions for a uni-soft ideal to be a uni-soft p-semisimple ideal are given. Also, a necessary and sufficient condition for a uni-soft ideal to be a uni-soft strong ideal is given. Finally, the relationships between uni-soft p-semisimple ideals and uni-soft strong ideals are investigated.


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