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on bornological semi-abelian algebras
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نویسنده
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borceux francis ,clementino maria manuel
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منبع
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categories and general algebraic structures with applications - 2021 - دوره : 14 - شماره : 1 - صفحه:181 -222
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چکیده
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If t is a semi-abelian algebraic theory, we prove that the category bornt of bornological t-algebras is homological with semi-direct products. we give a formal criterion for the representability of actions in bornt and, for a bornological t-algebra x, we investigate the relation between the representability of actions on x as a t-algebra and as a bornological t-algebra. we investigate further the algebraic coherence and the algebraic local cartesian closedness of bornt and prove in particular that both properties hold in the case of bornological groups.
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کلیدواژه
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semi-abelian algebraic theory ,bornology ,bornological algebra ,bornological group ,action representability ,algebraic coherence ,local algebraic cartesian closedness
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آدرس
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universite de louvain, belgium, university of coimbra, center for mathematics of the university of coimbra (cmuc), department of mathematics, portugal
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پست الکترونیکی
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mmc@mat.uc.pt
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Authors
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