The Leibniz PROP is a Crossed Presimplicial Algebra

Murat Can Aşkaroğulları; Atabey Kaygun

doi:10.1007/s10485-025-09820-4

The Leibniz PROP is a Crossed Presimplicial Algebra

Murat Can Aşkaroğulları^*
, Atabey Kaygun

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University
Gebze Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.

Orijinal dil	İngilizce
Makale numarası	29
Dergi	Applied Categorical Structures
Hacim	33
Basın numarası	4
DOI'lar	https://doi.org/10.1007/s10485-025-09820-4
Yayın durumu	Yayınlandı - Ağu 2025

Bibliyografik not

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2025.

Belgeye Erişim

10.1007/s10485-025-09820-4

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "The Leibniz PROP is a Crossed Presimplicial Algebra",

abstract = "We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.",

author = "A{\c s}karoğulları, \{Murat Can\} and Atabey Kaygun",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature B.V. 2025.",

year = "2025",

month = aug,

doi = "10.1007/s10485-025-09820-4",

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volume = "33",

journal = "Applied Categorical Structures",

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N2 - We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.

AB - We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.

UR - https://www.scopus.com/pages/publications/105012207047

U2 - 10.1007/s10485-025-09820-4

DO - 10.1007/s10485-025-09820-4

M3 - Article

AN - SCOPUS:105012207047

SN - 0927-2852

VL - 33

JO - Applied Categorical Structures

JF - Applied Categorical Structures

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The Leibniz PROP is a Crossed Presimplicial Algebra

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap