A category with biproducts is enriched over (commutative) additive monoids. A category with tensor products is enriched over scalar multiplication actions. A symmetric monoidal category with biproducts is enriched over semimodules. We show that these extensions of enrichment (e.g. from hom-sets to homsemimodules) are functorial, and use them to make precise the intuition that “compact objects a...

the main theme to conduct present research work was to evaluate the effect of anaerobic granular sludge in degradation of two azo dyes. the study was evaluated in batch experiments where anaerobic and aerobic conditions were integrated by exposing anaerobic granular sludge to oxygen. under these conditions, the azo dyes were reduced, resulting in a temporal accumulation of aromatic amines. subs...