This article is cited in 9 papers

Pseudomatrix groups and physical structures

A. A. Simonov<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

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.

UDC: 512.74+512.643.8

Received: 29.11.2013

 English version: Siberian Mathematical Journal, 2015, 56:1, 177–190

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