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- W1537810472 abstract "The notion of a subtractive category, recently introduced by the author, is a “categorical version” of the notion of a (pointed) subtractive variety of universal algebras, due to A.Ursini. We show that a subtractive variety C, whose theory contains a unique constant, is abelian (i.e. C is the variety of modules over a fixed ring), if and only if the dual category C op of C, is subtractive. More generally, we show that C is additive if and only if both C and C op are subtractive, where C is an arbitrary finitely complete pointed category, with binary sums, and such that each morphism f in C can be presented as a composite f = me, where m is a monomorphism and e is an epimorphism." @default.
- W1537810472 created "2016-06-24" @default.
- W1537810472 creator A5081627142 @default.
- W1537810472 date "2006-10-03" @default.
- W1537810472 modified "2023-09-27" @default.
- W1537810472 title "CLOSEDNESS PROPERTIES OF INTERNAL RELATIONS IV: EXPRESSING ADDITIVITY OF A CATEGORY VIA SUBTRACTIVITY" @default.
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