We present a general treatment of measures and integrals in certain (monoidal closed) categories. Under appropriate conditions the integral can be defined by a universal property, and the universal measure is at the same time a universal multiplicative measure. In the multiplicative case this assignment is right adjoint to the formation of the Boolean algebra of idempotents. Now coproduct prese...

The use of traditional feedstocks for biofuel production has brought about large changes to food and agricultural systems. As livestock producers adapt to rising feed costs, the prospect of incorporating dried distiller’s grain with solubles (DDGS) at higher than traditional levels becomes an important consideration. Given prices for feedstuffs and supplies of DDGS that are outside the historic...

Abstract We focus on quiver Yangians for most generalized conifolds. construct a coproduct of the Yangian following similar approach by Guay–Nakajima–Wendlandt. also prove that related Seiberg duality are indeed isomorphic. Then we discuss their connections to -algebras analogous study Ueda. In particular, universal enveloping algebras truncations Yangians, and therefore...

Coxeter complexes are simplicial polytopes derived from certain reflection groups. The type An−1 Coxeter complex is derived from the symmetric group Sn and admits an elegant combinatorial description. Its faces are identified with set compositions and certain combinatorial properties of these compositions can be explained geometrically. Aguiar and Mahajan used this geometry to define a product ...

We consider the space of linear maps from a coassociative coalgebra C into a Lie algebra L. Unless C has a cocommutative coproduct, the usual symmetry properties of the induced bracket on Hom(C,L) fail to hold. We define the concept of twisted domain (TD) algebras in order to recover the symmetries and also construct a modified ChevalleyEilenberg complex in order to define the cohomology of suc...

Background and objectives The grain-based ethanol production has been increasing as the demand for biofuel additives increased, fossil fuel sources decreased. Distillers dried grains with solubles (DDGS) are a primary coproduct of bioethanol plants conventional corn dry-grind process. With corn-based production, DDGS is it become global commodity. Despite high nutritional value DDGS, however, i...

In a recent paper, we have studied associative realizations of the noncommutative extended Snyder model, obtained by including Lorentz generators (tensorial coordinates) and their conjugated momenta. this extend result to also incorporate covariant realization $\kappa$-Poincar\'e spacetime. We obtain coproduct, star product twist in Weyl-ordered realization, first order noncommutativity paramet...

Straw is an interesting renewable feedstock for various high-value products, such as textile fibers. However, straw encompass to soils maintains a good soil structure, fertility, and carbon storage. Despite the availability of previous research on this topic, uncertainties remain regarding climate impacts collection. This study aims show footprint (CF) collection compared with that encompass. T...

We propose a method to compute the $R$-matrix $R$ on tensor product of Fock modules from coproduct relations in Hopf algebra. apply this quantum toroidal algebra $U_{q,t}(\overset{..}{gl}_1)$ for which is currently not explicitly known. show that reduce single elegant equation $R$. Using theory symmetric Macdonald polynomials we provides recursive formula matrix elements

We match up types and processes by putting values in correspondence with events, coproduct with (noninteracting) parallel composition, and tensor product with or-thocurrence. We then bring types and processes into closer correspondence by broadening and unifying the semantics of both using Chu spaces and their transfor-mational logic. Beyond this point the connection appears to break down; we p...