Abstract
In this paper, the work is comprised of
n
-ary block codes for UP-algebras and their interrelated properties.
n
-ary block codes for a known UP-algebra is constructed and further it is shown that for each
n
-ary block code
U
, it is easy to associate a UP-algebra
U
in such a way that the newly constructed
n
-ary block codes generated by
U
, i.e.,
U
x
, contain the code
U
as a subset. We define a UP-algebra valued function on a set say
X
, then we prove that for every
n
-ary block-code
U
, a generalized UP-valued cut function exists that determines
U
. We have also proved that the UP-algebras associated to an
n
-ary block code are not unique up to isomorphism.