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When coproducts are biproducts
Among right-closed monoidal categories with finite coproducts, we
characterise those with finite biproducts as being precisely those in which the
initial object and the coproduct of the unit with itself admit right duals.
This generalises Houston's result that any compact closed category with finite
coproducts admits biproducts.Comment: 4 pages; final journal versio
A Note on the Algebra of Operations for Hopf Cohomology at Odd Primes
Let be any prime, and let be the algebra of operations
on the cohomology ring of any cocommutative -Hopf algebra. In
this paper we show that when is odd (and unlike the case), cannot become an object in the Singer category of
-algebras with coproducts, if we require that coproducts act on
the generators of coherently with their nature of cohomology
operation
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