A. A. Stepanova, E. E. Skurikhin, A. G. Sukhonos, “Category of Chu spaces over <nobr>$S-Act$</nobr> category”, Sib. Èlektron. Mat. Izv., 2017, Volume 14,Pages <nobr>1220

This article is cited in 5 papers

Mathematical logic, algebra and number theory

Category of Chu spaces over $S-Act$ category

A. A. Stepanova^ab, E. E. Skurikhin^ab, A. G. Sukhonos^ab

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

Abstract: We consider two categories of Chu spaces over the category of $ S-Act $. For the case when $ S $ is a commutative monoid, the questions of completeness, conjugate objects and the conditions of reflexivity of objects are studied in the categories under consideration.

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

UDC: 512.53, 512.58

MSC: 18D35

Received August 4, 2017, published November 28, 2017

DOI: 10.17377/semi.2017.14.104