فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we review $L$-algebras and $CL$-algebras, focusing in particular on the notion of a prime ideal. We establish criteria for a prime ideal and analyze the relationship between maximal and prime ideals. In addition, we define prime ideals in $CL$-bounded algebras, and state conditions for an ideal to be prime in a self-distributing bounded $L$-algebra. We introduce the radical of an ideal and show that if its radical is maximal, then it is a prime ideal. Finally, we establish conditions under which every prime ideal in an $L$-algebra is primary.