𝔖 Bobbio Scriptorium
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REPRESENTATION OF POSETS

✍ Scribed by Yungchen Cheng; Paula Kemp

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
427 KB
Volume
38
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

In this paper we give new criterions for left distributive posets to have neatest representations. We also illustrate a construction that would embed left distributive posets into representable semilattices.

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The aim of the paper is to present an application of fuzzy sets in mathematics, namely, in the theory of ordered sets. An algorithm for the construction of P-fuzzy sets with distinct levels is given. In connection with this, every finite poset can be mapped, by an anti-isotone bijection, onto the po

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In this note we give a description of the representation of the wreath product S n [G] of the symmetric group S n and a finite group G on the homology of the product of n copies of a partially ordered set (poset for short) P on which G acts as a group of automorphisms. In the sequel all posets will