Axiomatisability problems for S-posets

Mathematics – Rings and Algebras

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Let C be a class of algebras of a given fixed type t. Associated with the type is a first order language L_t. One can then ask the question, when is the class C axiomatisable by sentences of L_t. In this paper we will be considering axiomatisability problems for classes of left S-posets over a pomonoid S (that is, a monoid S equipped with a partial order compatible with the binary operation). We aim to determine the pomonoids S such that certain categorically defined classes are axiomatisable. The classes we consider are the free S-posets, the projective S-posets and classes arising from flatness properties. Some of these cases have been studied in a recent article by Pervukhin and Stepanova. We present some general strategies to determine axiomatisability, from which their results for the classes of weakly po-flat and po-flat S-posets will follow. We also consider a number of classes not previously examined.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Axiomatisability problems for S-posets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Axiomatisability problems for S-posets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axiomatisability problems for S-posets will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-363524

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.