On the number of countable subdirect powers of unary algebras

Nik Ruskuc; Bill Logan De Witt

doi:10.1142/S0218196723500546

On the number of countable subdirect powers of unary algebras

Nik Ruskuc^*
, Bill Logan De Witt

^*Corresponding author for this work

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

Abstract

A finite unary algebra (A,F) has only countably many countable subdirect powers if and only if every operation ƒ ∈ F is either a permutation or a constant mapping.

Original language	English
Pages (from-to)	1183-1194
Number of pages	12
Journal	International Journal of Algebra and Computation
Volume	33
Issue number	06
Early online date	12 Aug 2023
DOIs	https://doi.org/10.1142/S0218196723500546
Publication status	Published - 1 Sept 2023

Keywords

Subdirect power
Unary algebra

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UnarySubPow10
Copyright © 2023 World Scientific Publishing Company. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1142/S0218196723500546.
Accepted author manuscript, 311 KBLicence: Unspecified

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abstract = "A finite unary algebra (A,F) has only countably many countable subdirect powers if and only if every operation ƒ ∈ F is either a permutation or a constant mapping.",

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AB - A finite unary algebra (A,F) has only countably many countable subdirect powers if and only if every operation ƒ ∈ F is either a permutation or a constant mapping.

KW - Subdirect power

KW - Unary algebra

UR - https://arxiv.org/abs/2106.08876

U2 - 10.1142/S0218196723500546

DO - 10.1142/S0218196723500546

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JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 06

ER -

On the number of countable subdirect powers of unary algebras

Abstract

Keywords

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