Increased cost of common feedstuffs and increased availability of coproducts from plant-based biofuel manufacturing has enhanced interest in the use of these coproducts in rations for dairy cattle (Donkin and Doane, 2007). Glycerol (commonly marketed as crude glycerine with a glycerol content of approximately 80%) is a coproduct produced during biodiesel production from soybean oil and is becom...

We test Lüth and Ghani’s proposal [11, 12, 13] to use coproducts of monads as a basis for modularity by applying their ideas to Varacca’s work [20] on combining non-determinism and probabilistic choice. In particular, we discuss i) the coproduct of non-determinism and probabilistic choice; ii) how monad compositions based upon distributivity possess a universal property; and iii) Capretta’s [4]...

We introduce an infinitesimal Hopf algebra of planar trees, generalising the construction of the non-commutative Connes-Kreimer Hopf algebra. A nondegenerate pairing and a dual basis are defined, and a combinatorial interpretation of the pairing in terms of orders on the vertices of planar forests is given. Moreover, the coproduct and the pairing can also be described with the help of a partial...

Poincaré-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincaré group is suitably deformed [1, 2].(See also especially Oeckl [3],[4] and Grosse et al.[5]) As shown in [6], this important result of these authors implies modification of free field commutation and anti-commutation relations and striking phenomenological consequences such as vi...

An algebra is called corecursive if from every coalgebra a unique coalgebra-to-algebra homomorphism exists into it. We prove that free corecursive algebras are obtained as a coproduct of the final coalgebra (considered as an algebra) and free algebras. The monad of free corecursive algebras is proved to be the free corecursive monad, where the concept of corecursive monad is a generalization of...

Eleven diverse strains of Schizophyllan commune were examined for production of the biopolymer schizophyllan from agricultural biomass. Strains were grown in malt extract (ME) basal medium containing 1% (w/v) distiller's dried grains with solubles (DDGS), an abundant coproduct of fuel ethanol production by the dry grind process. Ten of 11 strains tested produced more than 2 g schizophyllan/L. T...

We study ternary relational semantics for symmetric versions of the Lambek calculus with interaction principles due to Grishin (1983). We obtain completeness on the basis of a Henkin-style weak filter construction. 1 Background, motivation The categorial calculi proposed by Lambek and their current typelogical extensions respect an “intuitionistic” restriction: in a Gentzen presentation, Lambek...

All Lie bialgebra structures on the Heisenberg–Weyl algebra [A+, A−] = M are classified and explicitly quantized. The complete list of quantum Heisenberg–Weyl algebras so obtained includes new multiparameter deformations, most of them being of the non-coboundary type. A Hopf algebra deformation of a universal enveloping algebra Ug defines in a unique way a Lie bialgebra structure (g, δ) on g [1...

Generalizing our recent joint paper with Vasily Pestun (arXiv:2001.04929), we construct a family of $SO(2r),Sp(2r),SO(2r+1)$ rational Lax matrices, polynomial in the spectral parameter, parametrized by divisors on projective line coefficients being dominant integral coweights associated Lie algebras. To this end, provide RTT realization antidominantly shifted extended Drinfeld Yangians $\mathfr...