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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

1 ציטוט ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	144-157
מספר עמודים	14
כתב עת	Semigroup Forum
כרך	107
מספר גיליון	1
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1007/s00233-023-10353-2
סטטוס פרסום	פורסם - אוג׳ 2023

גישה למסמך

10.1007/s00233-023-10353-2

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

language = "אנגלית",

volume = "107",

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journal = "Semigroup Forum",

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T1 - Tropical linear representations of the Chinese monoid

AU - Izhakian, Zur

AU - Merlet, Glenn

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N2 - 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.

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

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AN - SCOPUS:85162190277

SN - 0037-1912

VL - 107

SP - 144

EP - 157

JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

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Tropical linear representations of the Chinese monoid

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