Tropical linear representations of the Chinese monoid

Zur Izhakian; Glenn Merlet

doi:10.1007/s00233-023-10353-2

Tropical linear representations of the Chinese monoid

Zur Izhakian, Glenn Merlet

Department of Mathematics

Ariel University

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

Abstract

We introduce a faithful tropical linear representation of the Chinese monoid, and thus prove that this monoid admits all the semigroup identities satisfied by upper triangular tropical matrices.

Original language	English
Pages (from-to)	144-157
Number of pages	14
Journal	Semigroup Forum
Volume	107
Issue number	1
DOIs	https://doi.org/10.1007/s00233-023-10353-2
State	Published - Aug 2023

Keywords

Chinese monoid
Semigroup identities
Semigroup representations
Tropical (max-plus) matrices
semigroup varieties

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s00233-023-10353-2

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title = "Tropical linear representations of the Chinese monoid",

abstract = "We introduce a faithful tropical linear representation of the Chinese monoid, and thus prove that this monoid admits all the semigroup identities satisfied by upper triangular tropical matrices.",

keywords = "Chinese monoid, Semigroup identities, Semigroup representations, Tropical (max-plus) matrices, semigroup varieties",

author = "Zur Izhakian and Glenn Merlet",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = aug,

doi = "10.1007/s00233-023-10353-2",

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AU - Merlet, Glenn

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AB - We introduce a faithful tropical linear representation of the Chinese monoid, and thus prove that this monoid admits all the semigroup identities satisfied by upper triangular tropical matrices.

KW - Chinese monoid

KW - Semigroup identities

KW - Semigroup representations

KW - Tropical (max-plus) matrices

KW - semigroup varieties

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U2 - 10.1007/s00233-023-10353-2

DO - 10.1007/s00233-023-10353-2

M3 - مقالة

SN - 0037-1912

VL - 107

SP - 144

EP - 157

JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

ER -

Tropical linear representations of the Chinese monoid

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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