Equational Compactness of G-sheaves |
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Authors: | M. Mehdi Ebrahimi M. Haddadi |
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Affiliation: | Department of Mathematics , Shahid Beheshti University , G. C., Tehran , Iran |
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Abstract: | 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. |
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Keywords: | Equational compactness G-act G-sheaf Purity |
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