On the number of finite algebraic structures

Erhard Aichinger; Peter Mayr; Ralph McKenzie

doi:10.4171/JEMS/472

On the number of finite algebraic structures

Erhard Aichinger
, Peter Mayr
, Ralph McKenzie

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that every finite algebra with few subpowers has a finitely related clone of term operations.

Original language	English
Pages (from-to)	1673-1686
Number of pages	14
Journal	Journal of the European Mathematical Society
Volume	16
Issue number	8
DOIs	https://doi.org/10.4171/JEMS/472
Publication status	Published - 2014

Fields of science

101001 Algebra
101005 Computer algebra
101009 Geometry
101025 Number theory

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

Access to Document

10.4171/JEMS/472

Cite this

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title = "On the number of finite algebraic structures",

abstract = "It is shown that every finite algebra with few subpowers has a finitely related clone of term operations.",

author = "Erhard Aichinger and Peter Mayr and Ralph McKenzie",

year = "2014",

doi = "10.4171/JEMS/472",

language = "English",

volume = "16",

pages = "1673--1686",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

number = "8",

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TY - JOUR

T1 - On the number of finite algebraic structures

AU - Aichinger, Erhard

AU - Mayr, Peter

AU - McKenzie, Ralph

PY - 2014

Y1 - 2014

N2 - It is shown that every finite algebra with few subpowers has a finitely related clone of term operations.

AB - It is shown that every finite algebra with few subpowers has a finitely related clone of term operations.

UR - http://arxiv.org/abs/1103.2265

UR - https://www.scopus.com/pages/publications/84907262078

U2 - 10.4171/JEMS/472

DO - 10.4171/JEMS/472

M3 - Article

SN - 1435-9855

VL - 16

SP - 1673

EP - 1686

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 8

ER -

On the number of finite algebraic structures

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Computations in direct powers

Algebraic approaches to the description of Mal'cev clones

Cite this

On the number of finite algebraic structures

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Projects

Computations in direct powers

Algebraic approaches to the description of Mal'cev clones

Cite this