Galois connection for multiple-output operations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489142" target="_blank" >RIV/67985840:_____/18:00489142 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00012-018-0499-7" target="_blank" >http://dx.doi.org/10.1007/s00012-018-0499-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00012-018-0499-7" target="_blank" >10.1007/s00012-018-0499-7</a>

Result language

angličtina

Original language name

Galois connection for multiple-output operations

Original language description

It is a classical result from universal algebra that the notions of polymorphisms and invariants provide a Galois connection between suitably closed classes (clones) of finitary operations f: B^n -> B, and classes (coclones) of relations r subset of B^k. We will present a generalization of this duality to classes of (multi-valued, partial) functions f: B^n -> B^m, employing invariants valued in partially ordered monoids instead of relations. In particular, our set-up encompasses the case of permutations f: B^n -> B^n, motivated by problems in reversible computing.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Algebra Universalis

ISSN

0002-5240

e-ISSN

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Volume of the periodical

79

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

37

Pages from-to

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UT code for WoS article

000431737200007

EID of the result in the Scopus database

2-s2.0-85045616056