Abstract substitution in enriched categories

Brian Day; Ross Street

doi:10.1016/S0022-4049(02)00291-8

Abstract substitution in enriched categories

Brian Day, Ross Street^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

20 Citations (Scopus)

Abstract

Enriched categories equipped with an abstract substitution process are defined in this paper, and called substitudes. They generalize both monoidal enriched categories and operads, and are a little more general than multicategories. They can bear braidings and symmetries. There are two convolution processes with distinctly different properties.

Original language	English
Pages (from-to)	49-63
Number of pages	15
Journal	Journal of Pure and Applied Algebra
Volume	179
Issue number	1-2
DOIs	https://doi.org/10.1016/S0022-4049(02)00291-8
Publication status	Published - 1 Apr 2003

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title = "Abstract substitution in enriched categories",

abstract = "Enriched categories equipped with an abstract substitution process are defined in this paper, and called substitudes. They generalize both monoidal enriched categories and operads, and are a little more general than multicategories. They can bear braidings and symmetries. There are two convolution processes with distinctly different properties.",

author = "Brian Day and Ross Street",

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AU - Street, Ross

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AB - Enriched categories equipped with an abstract substitution process are defined in this paper, and called substitudes. They generalize both monoidal enriched categories and operads, and are a little more general than multicategories. They can bear braidings and symmetries. There are two convolution processes with distinctly different properties.

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U2 - 10.1016/S0022-4049(02)00291-8

DO - 10.1016/S0022-4049(02)00291-8

M3 - Review article

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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Abstract substitution in enriched categories

Abstract

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