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On homomorphisms between products of median algebras

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On homomorphisms between products of median algebras. / Couceiro, Miguel; Foldes, Stephan; Meletiou, Gerasimos C.

In: Algebra Universalis, Vol. 78, No. 4, 2017, p. 545–553.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Couceiro, M, Foldes, S & Meletiou, GC 2017, 'On homomorphisms between products of median algebras', Algebra Universalis, vol. 78, no. 4, pp. 545–553. https://doi.org/10.1007/s00012-017-0468-6

APA

Couceiro, M., Foldes, S., & Meletiou, G. C. (2017). On homomorphisms between products of median algebras. Algebra Universalis, 78(4), 545–553. https://doi.org/10.1007/s00012-017-0468-6

Vancouver

Couceiro M, Foldes S, Meletiou GC. On homomorphisms between products of median algebras. Algebra Universalis. 2017;78(4):545–553. https://doi.org/10.1007/s00012-017-0468-6

Author

Couceiro, Miguel ; Foldes, Stephan ; Meletiou, Gerasimos C. / On homomorphisms between products of median algebras. In: Algebra Universalis. 2017 ; Vol. 78, No. 4. pp. 545–553.

Bibtex - Download

@article{ecf9c872c8d4446689f07ea533ec0058,
title = "On homomorphisms between products of median algebras",
abstract = "Homomorphisms of products of median algebras are studied with particular attention to the case when the codomain is a tree. In particular, we show that all mappings from a product (Formula presented.) of median algebras to a median algebra (Formula presented.) are essentially unary whenever the codomain (Formula presented.) is a tree. In view of this result, we also characterize trees as median algebras and semilattices by relaxing the defining conditions of conservative median algebras.",
author = "Miguel Couceiro and Stephan Foldes and Meletiou, {Gerasimos C.}",
year = "2017",
doi = "10.1007/s00012-017-0468-6",
language = "English",
volume = "78",
pages = "545–553",
journal = "Algebra Universalis",
issn = "0002-5240",
publisher = "Springer Verlag",
number = "4",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - On homomorphisms between products of median algebras

AU - Couceiro, Miguel

AU - Foldes, Stephan

AU - Meletiou, Gerasimos C.

PY - 2017

Y1 - 2017

N2 - Homomorphisms of products of median algebras are studied with particular attention to the case when the codomain is a tree. In particular, we show that all mappings from a product (Formula presented.) of median algebras to a median algebra (Formula presented.) are essentially unary whenever the codomain (Formula presented.) is a tree. In view of this result, we also characterize trees as median algebras and semilattices by relaxing the defining conditions of conservative median algebras.

AB - Homomorphisms of products of median algebras are studied with particular attention to the case when the codomain is a tree. In particular, we show that all mappings from a product (Formula presented.) of median algebras to a median algebra (Formula presented.) are essentially unary whenever the codomain (Formula presented.) is a tree. In view of this result, we also characterize trees as median algebras and semilattices by relaxing the defining conditions of conservative median algebras.

U2 - 10.1007/s00012-017-0468-6

DO - 10.1007/s00012-017-0468-6

M3 - Article

VL - 78

SP - 545

EP - 553

JO - Algebra Universalis

JF - Algebra Universalis

SN - 0002-5240

IS - 4

ER -