Product of Chu spaces in the category of $Chu(S-Act)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1352-1358

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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, S-Act, monoidal category, limit, functor, product.
Mots-clés : Chu construction
@article{SEMR_2020_17_a32,
     author = {A. A. Stepanova and E. E. Skurikhin and A. G. Sukhonos},
     title = {Product of {Chu} spaces in the category of $Chu(S-Act)$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1352--1358},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a32/}
}
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A. A. Stepanova; E. E. Skurikhin; A. G. Sukhonos. Product of Chu spaces in the category of $Chu(S-Act)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1352-1358. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a32/