A Representation of Finite, Positive, Commutative Tomonoids

作者:Vetterlein Thomas*
来源:Journal of Multiple-Valued Logic and Soft Computing, 2017, 29(1-2): 83-104.

摘要

We propose a representation of totally ordered monoids (or tomonoids, for short) that are commutative, positive, and finite. We identify these structures with compatible and positive total preorders on N-n. To describe the latter, we utilise so-called direction f-cones, making use of the special form of the associated congruences on N-n.

  • 出版日期2017