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Algebra and Logic
Article . 1993 . Peer-reviewed
License: Springer TDM
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Positive theories of free monoids

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1993 English Publisher:Springer Science and Business Media LLCJournal:Algebra and Logic, volume 32, pages 80-86 (issn: 0002-5232, eissn: 1573-8302, Copyright policy )
Authors: N. A. Peryazev;

doi: 10.1007/bf02260878

Positive theories of free monoids

Abstract

We denote by \({\mathfrak M}_n\) the free monoid of rank \(n\), and \(a_i\) \((1 \leq i \leq n)\) are its free generators as well as the signature symbols interpreted by these generators. Theorem. Free monoids \({\mathfrak M}_n\) and \({\mathfrak M}_m\) \((2 \leq n n - 2\).

Keywords

Decidability of theories and sets of sentences, Free semigroups, generators and relations, word problems, positively equivalent monoids, free generators, free monoids

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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