Construction of monadic three-valued ?ukasiewicz algebras

NUMBER OF EPIMORPHISMS BETWEEN FINITE AXLED n-VALUED MOISIL ALGEBRAS

“…This generalizes our results about three-valued Lukasiewicz algebras with axe [6,7] and is much more precise than Corollary 1.20 of [2], page 293. If n > 3, let L be a finite axled n-valued M-algebra, then L = x C^, where j, k e Z, j > 0, k > 0.…”

“…It is well known that the homomorphic images of L are determined by the filters [6) where b G B(L), and the quotient algebra L/[b) is isomorphic to the n-valued M-algebra (b] = {x E L : x < b}. As B(L) has 2 ]+k elements then there exist 2 J+fc homomorphic images of L.…”