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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2020 Volume 17, Pages 1352–1358 (Mi semr1293)

This article is cited in 2 papers

Mathematical logic, algebra and number theory

Product of Chu spaces in the category of $Chu(S-Act)$

A. A. Stepanovaa, E. E. Skurikhinba, A. G. Sukhonosa

a Far-Eastern Federal University, b. Ayaks-10, Vladivostok, 690920, Russia
b Institute of Applied Mathematics, 7, Radio str., Vladivostok, 690041, Russia

Abstract: The necessary conditions for the existence of products of Chu spaces in the category $Chu(S-Act)$ over the category of S-acts are obtained. It is proved the existence of a product of Chu spaces $r_i: A_i\otimes X_i\longrightarrow D_i$ $(i\in I)$ in the category $Chu (S-Act)$ in the cases of $X_i$ are zero polygons for any $i\in I$ or $D_i$ are zero polygons for any $i\in I$.

Keywords: Chu spaces, Chu construction, S-Act, monoidal category, limit, functor, product.

UDC: 512.53, 512.58

MSC: 18D35

Received July 5, 2020, published September 14, 2020

DOI: 10.33048/semi.2020.17.099



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