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- W1480860110 abstract "Y ∗ ABSTRACT. The 2-category VAR of finitary varieties is not varietal over CAT . We introduce the concept of an algebraically exact category and prove that the 2-category ALG of all algebraically exact categories is an equational hull of VAR w.r.t. all op- erations with rank. Every algebraically exact category K is complete, exact, and has filtered colimits which (a) commute with finite limits and (b) distribute over products; besides (c) regular epimorphisms in K are product-stable. It is not known whether (a) - (c) characterize algebraic exactness. An equational hull of VAR w.r.t. all operations is also discussed." @default.
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- W1480860110 date "2001-01-01" @default.
- W1480860110 modified "2023-10-17" @default.
- W1480860110 title "HOW ALGEBRAIC IS ALGEBRA" @default.
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