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   modal operators on l-algebras  
   
نویسنده aaly kologani mona
منبع journal of algebraic structures and their applications - 2023 - دوره : 10 - شماره : 2 - صفحه:107 -125
چکیده    The main goal of this paper is to introduce analogously modal operators on l-algebras and study their properties. to begin with, we introduce the notion of modal operators on l-algebras and investigate some important properties of this operator. in order for the kernel of modal operator to be ideal, we investigate what conditions are required. relations between modal operator and endomorphism of l-algebras are investigated. also, we define the concept of positive l-algebra and some characterizations of positive l-algebra are established. finally, we introduce a map ka and show that ka is a modal operator and we prove that the set of all ka on a positive l-algebra makes a dual bck-algebra.
کلیدواژه bck-algebra ,l-algebra ,modal operator ,positive l-algebra
آدرس hatef higher education institute, iran
پست الکترونیکی mona4011@gmail.com
 
     
   
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