This paper is devoted to the study of various completions of posets which preserve the algebraic or ordering structure of the given poset.
Absi~ract - This paper is devoted to the study of various completions of posets which preserve the algebraic or ordering structure of the given poset. i - ...
Apr 20, 2017 · Denote by Comp(X) the completion of X. Since X densely embeds into comp(X) (and metric spaces are Hausdorff), there is at most one continuous ...
Sep 30, 2023 · By Proposition 17 we know that any continuous completion of T A is necessarily nilpotent. Now, let us prove that a nilpotent t-norm T is a ...
We provide an explicit description of the corresponding completions. The elements of these completions can be regarded as usual functions on [0,1] [ 0 , 1 ] ...
Nov 15, 2023 · In this second part, we use the results of the first part for providing the continuous completions of a conditionally cancellative pre-t-norm ...
In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules.
Oct 26, 2023 · Is there a procedure that gets you all the set of {f:R->R} (and no more stuff) in a natural way from continuous functions or continuous ...
We begin with a review of some definitions, prove some basic lemmas, and then give the general construction of completions and formulate universal properties ...
The first part of the paper will be devoted to the construction of a set of functions which form a complete lattice isomorphic to the normal completion of C(S).