Equational Compactness of G-sheaves

Purity and equational compactness play a role at least in the Theories of Modules, Acts, Model, and Category. Adámek and Rosický have studied them categorically, Rothmaler model-theoretically, and some authors, including Banaschewski, Gould, and Normak have studied these notions on G-acts. We take b...

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Bibliographic Details
Published inCommunications in algebra Vol. 40; no. 2; pp. 666 - 680
Main Authors Ebrahimi, M. Mehdi, Haddadi, M., Mahmoudi, M.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2012
Subjects
Equational compactness
G-act
G-sheaf
Purity
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Summary:Purity and equational compactness play a role at least in the Theories of Modules, Acts, Model, and Category. Adámek and Rosický have studied them categorically, Rothmaler model-theoretically, and some authors, including Banaschewski, Gould, and Normak have studied these notions on G-acts. We take both the group G and the set A in the definition of a G-act to be sheaves and study equationally compact G-sheaves. We get different kinds of equationally compact G-sheaves, study them and their interrelations, give some conditions for their proper behavior, and generalize some of the existing results.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2010.535587