Constructions in the category of real semigroups

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The purpose of this research paper is threefold: first, to introduce new constructions in the category of real semigroups (RS): locally constant functions on a topological space with values in a RS, directed inductive limits and RS-sums, an analog of a coproduct for RSs. Secondly, to obtain some und...

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Autores principales: Dickmann, M., Miraglia, F., Petrovich, A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02714132_v697_n_p107_Dickmann
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02714132_v697_n_p107_Dickmann2023-10-03T15:14:52Z Constructions in the category of real semigroups Dickmann, M. Miraglia, F. Petrovich, A. The purpose of this research paper is threefold: first, to introduce new constructions in the category of real semigroups (RS): locally constant functions on a topological space with values in a RS, directed inductive limits and RS-sums, an analog of a coproduct for RSs. Secondly, to obtain some understanding of the space of RS-characters of an infinite product of RSs and, lastly, to establish the preservation of finite products and arbitrary directed inductive limits by the natural functor from the category of commutative unitary rings into that of RSs. The basic references for real semigroups, whose notation and terminology we adopt, are the papers cited under Dickmann-Petrovich (see References). We are grateful to the referee for the careful reading of the text and the valuable comments and corrections that improved the presentation. © 2017 Amerian Mathematial Soiety. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02714132_v697_n_p107_Dickmann
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The purpose of this research paper is threefold: first, to introduce new constructions in the category of real semigroups (RS): locally constant functions on a topological space with values in a RS, directed inductive limits and RS-sums, an analog of a coproduct for RSs. Secondly, to obtain some understanding of the space of RS-characters of an infinite product of RSs and, lastly, to establish the preservation of finite products and arbitrary directed inductive limits by the natural functor from the category of commutative unitary rings into that of RSs. The basic references for real semigroups, whose notation and terminology we adopt, are the papers cited under Dickmann-Petrovich (see References). We are grateful to the referee for the careful reading of the text and the valuable comments and corrections that improved the presentation. © 2017 Amerian Mathematial Soiety.
format JOUR
author Dickmann, M.
Miraglia, F.
Petrovich, A.
spellingShingle Dickmann, M.
Miraglia, F.
Petrovich, A.
Constructions in the category of real semigroups
author_facet Dickmann, M.
Miraglia, F.
Petrovich, A.
author_sort Dickmann, M.
title Constructions in the category of real semigroups
title_short Constructions in the category of real semigroups
title_full Constructions in the category of real semigroups
title_fullStr Constructions in the category of real semigroups
title_full_unstemmed Constructions in the category of real semigroups
title_sort constructions in the category of real semigroups
url http://hdl.handle.net/20.500.12110/paper_02714132_v697_n_p107_Dickmann
work_keys_str_mv AT dickmannm constructionsinthecategoryofrealsemigroups
AT miragliaf constructionsinthecategoryofrealsemigroups
AT petrovicha constructionsinthecategoryofrealsemigroups
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