Campus Units

Mathematics

Document Type

Article

Publication Version

Submitted Manuscript

Publication Date

1-18-2019

Journal or Book Title

arxiv

Abstract

We extend a well-known theorem of Murski\v{\i} to the probability space of finite models of a system M of identities of a strong idempotent linear Maltsev condition. We characterize the models of M in a way that can be easily turned into an algorithm for producing random finite models of M, and we prove that under mild restrictions on M, a random finite model of M is almost surely idemprimal. This implies that even if such an M is distinguishable from another idempotent linear Maltsev condition by a finite model A of M, a random search for a finite model A of M with this property will almost surely fail.

Comments

This is a pre-print made available through arxiv: https://arxiv.org/abs/1901.06316.

Copyright Owner

The Authors

Language

en

File Format

application/pdf

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