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Homomorphisms of Product Semigroups

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Homomorphisms of Product Semigroups. / Stetkær, Henrik.
In: Results in Mathematics, Vol. 77, No. 2, 60, 04.2022.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Harvard

Stetkær, H 2022, 'Homomorphisms of Product Semigroups', Results in Mathematics, vol. 77, no. 2, 60. https://doi.org/10.1007/s00025-022-01603-w

APA

Stetkær, H. (2022). Homomorphisms of Product Semigroups. Results in Mathematics, 77(2), Article 60. https://doi.org/10.1007/s00025-022-01603-w

CBE

Stetkær H. 2022. Homomorphisms of Product Semigroups. Results in Mathematics. 77(2):Article 60. https://doi.org/10.1007/s00025-022-01603-w

MLA

Stetkær, Henrik. "Homomorphisms of Product Semigroups". Results in Mathematics. 2022. 77(2). https://doi.org/10.1007/s00025-022-01603-w

Vancouver

Stetkær H. Homomorphisms of Product Semigroups. Results in Mathematics. 2022 Apr;77(2):60. doi: 10.1007/s00025-022-01603-w

Author

Stetkær, Henrik. / Homomorphisms of Product Semigroups. In: Results in Mathematics. 2022 ; Vol. 77, No. 2.

Bibtex

@article{affe7571633e4e2bbfcdf304391e7e6a,
title = "Homomorphisms of Product Semigroups",
abstract = "Let S1, ⋯ , SN and R be semigroups. For homomorphisms F: S1× ⋯ × SN→ R we derive sufficient conditions for existence and uniqueness of homomorphisms Fn: Sn→ R, n= 1 , ⋯ , N, such that F(s1, ⋯ , sN) = F1(s1) ⋯ FN(sN) for all s1∈ S1, ⋯ , sN∈ SN.",
keywords = "decomposition, homomorphism, product semigroup, Semigroup",
author = "Henrik Stetk{\ae}r",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2022",
month = apr,
doi = "10.1007/s00025-022-01603-w",
language = "English",
volume = "77",
journal = "Results in Mathematics",
issn = "1422-6383",
publisher = "Springer Basel AG",
number = "2",

}

RIS

TY - JOUR

T1 - Homomorphisms of Product Semigroups

AU - Stetkær, Henrik

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

PY - 2022/4

Y1 - 2022/4

N2 - Let S1, ⋯ , SN and R be semigroups. For homomorphisms F: S1× ⋯ × SN→ R we derive sufficient conditions for existence and uniqueness of homomorphisms Fn: Sn→ R, n= 1 , ⋯ , N, such that F(s1, ⋯ , sN) = F1(s1) ⋯ FN(sN) for all s1∈ S1, ⋯ , sN∈ SN.

AB - Let S1, ⋯ , SN and R be semigroups. For homomorphisms F: S1× ⋯ × SN→ R we derive sufficient conditions for existence and uniqueness of homomorphisms Fn: Sn→ R, n= 1 , ⋯ , N, such that F(s1, ⋯ , sN) = F1(s1) ⋯ FN(sN) for all s1∈ S1, ⋯ , sN∈ SN.

KW - decomposition

KW - homomorphism

KW - product semigroup

KW - Semigroup

UR - http://www.scopus.com/inward/record.url?scp=85122934014&partnerID=8YFLogxK

U2 - 10.1007/s00025-022-01603-w

DO - 10.1007/s00025-022-01603-w

M3 - Journal article

AN - SCOPUS:85122934014

VL - 77

JO - Results in Mathematics

JF - Results in Mathematics

SN - 1422-6383

IS - 2

M1 - 60

ER -