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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 1, Pages 211–226 (Mi smj2633)  
This article is cited in 7 scientific papers (total in 7 papers)

Pseudomatrix groups and physical structures

A. A. Simonovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (357 kB) Citations (7)
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Abstract: We define pseudomatrix multiplication on the set of rectangular matrices which is different from the standard matrix multiplication. We give examples of pseudomatrix groups. The usual matrix multiplication is a particular case of pseudomatrix multiplication. We define three-sorted algebras with pseudomatrix multiplication, as well as physical structures, and establish their categorical equivalence.
Keywords: matrix group, pseudomatrix multiplication, physical structure, category.
Received: 29.11.2013
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 1, Pages 177–190
DOI: https://doi.org/10.1134/S0037446615010176
Bibliographic databases:
Document Type: Article
UDC: 512.74+512.643.8
Language: Russian
Citation: A. A. Simonov, “Pseudomatrix groups and physical structures”, Sibirsk. Mat. Zh., 56:1 (2015), 211–226; Siberian Math. J., 56:1 (2015), 177–190
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :104
    References:43
    First page:11
     
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