Flatness properties of acts over semigroups
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CGASAT-15-1_003
Index date: 14 September 2021
Flatness properties of acts over semigroups abstract
In this paper we study flatness properties (pullback flatness, limit flatness, finite limit flatness) of acts over semigroups. These are defined by requiring preservation of certain limits from the functor of tensor multiplication by a given act. We give a description of firm pullback flat acts using Conditions (P) and (E). We also study pure epimorphisms and their connections to finitely presented acts and pullback flat acts. We study these flatness properties in the category of all acts, as well as in the category of unitary acts and in the category of firm acts, which arise naturally in the Morita theory of semigroups.
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Flatness properties of acts over semigroups authors
Valdis Laan
Institute of Mathematics and Statistics, University of Tartu, Tartu, Estonia.
Ülo Reimaa
Institute of Mathematics and Statistics, University of Tartu, Tartu, Estonia
Lauri Tart
Institute of Mathematics and Statistics, University of Tartu, Tartu, Estonia
Elery Teor
Hotel Tartu, Tartu, Estonia.
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