Results 21 to 30 of about 442,679 (75)

Wreath products of cocommutative Hopf algebras [PDF]

open access: yesarXiv, 2014
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]

open access: yesarXiv, 2016
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]

open access: yesarXiv
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]

open access: yesTransactions on Computers, 3(6):1782-1787, 2004, 2015
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]

open access: yesarXiv
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]

open access: yesSci Rep
Rotundo JL   +6 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy