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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 5, Pages 1184–1201 (Mi smj1911)  
This article is cited in 5 scientific papers (total in 5 papers)

Multicategories and varieties of many-sorted algebras

S. N. Tronin

Kazan State University, Faculty of Mechanics and Mathematics
Full-text PDF (405 kB) Citations (5)
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Abstract: We give a direct proof of the fact that every variety of many-sorted universal algebras is rationally equivalent to a variety of algebras over some FSet-multicategory (a many-sorted analog of FSet-operads). The construction of this multicategory is straightforward and uses the free algebras of the given variety.
Keywords: many-sorted algebra, multicategory, free algebra, variety, rational equivalence.
Received: 20.02.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 5, Pages 944–958
DOI: https://doi.org/10.1007/s11202-008-0091-z
Bibliographic databases:
UDC: 512
Language: Russian
Citation: S. N. Tronin, “Multicategories and varieties of many-sorted algebras”, Sibirsk. Mat. Zh., 49:5 (2008), 1184–1201; Siberian Math. J., 49:5 (2008), 944–958
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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