Wreath products of cocommutative Hopf algebras [PDF]
We define wreath products of cocommutative Hopf algebras, and show that they enjoy a universal property of classifying cleft extensions, analogous to the Kaloujnine-Krasner theorem for groups. We show that the group ring of a wreath product of groups is the wreath product of their group rings, and that (with a natural definition of wreath products of
arxiv
Products of abstract polytopes [PDF]
Given two convex polytopes, the join, the cartesian product and the direct sum of them are well understood. In this paper we extend these three kinds of products to abstract polytopes and introduce a new product, called the topological product, which also arises in a natural way. We show that these products have unique prime factorization theorems.
arxiv
Beyond graph products and cactus groups: quandle products of groups [PDF]
In this paper, we introduce and initiate the study of quandle products of groups, a family of groups that includes graph products of groups, cactus groups, wreath products, and the recently introduced trickle groups. Our approach is geometric: we show that quandle products admit quasi-median Cayley graphs; and, then, we exploit this geometry to deduce ...
arxiv
Framework for Version Control & Dependency Link of Components & Products in a Software Product Line [PDF]
Software product line deals with the assembly of products from existing core assets commonly known as components and continuous growth in the core assets as we proceed with production. This idea has emerged as vital in terms of software development from component-based architecture. Since in software product line one has to deal with number of products
arxiv
Graph product and the stability of circulant graphs [PDF]
A graph $\Gamma$ is said to be stable if $\mathrm{Aut}(\Gamma\times K_2)\cong\mathrm{Aut}(\Gamma)\times \mathbb{Z}_{2}$ and unstable otherwise. If an unstable graph is connected, non-bipartite and any two of its distinct vertices have different neighborhoods, then it is called nontrivially unstable.
arxiv
Breeding progress is a major contributor to improved regional maize water productivity. [PDF]
Rotundo JL+6 more
europepmc +1 more source
Evaluating the Efficiency and Productivity of Opioid Substitution Treatment Units in Greece: A DEA-Malmquist Analysis. [PDF]
Trakakis A, Theocharis A, Prezerakos P.
europepmc +1 more source
Temperate forests can deliver future wood demand and climate-change mitigation dependent on afforestation and circularity. [PDF]
Forster EJ, Styles D, Healey JR.
europepmc +1 more source
A holistic assessment of water resources and management in the Zarrineh river sub basin using water accounting plus. [PDF]
Kanani E, Nazari B, Dehghanisanij H.
europepmc +1 more source
Enhanced distillate production of stepped solar still via integration with multi-stage membrane distillation. [PDF]
Mahgoub AA+3 more
europepmc +1 more source