The $n$-cube as a product semigroup.

The Semidirect Product of an Inverse Semigroup and a Group

Derangements on the n-cube

Chen, W.Y.C. and R.P. Stanley, Derangements on the n-cube, Discrete Mathematics 115 (1993) 65-15. Let Q. be the n-dimensional cube represented by a graph whose vertices are sequences of O’s and l’s of length n, where two vertices are adjacent if and only if they differ only at one position. A k-dimensional subcube or a k-face of Q. is a subgraph of Q. spanned by all the vertices u1 u2 u, with c...

Automorphisms of the Cube n

Consider a hypergraph H n where the vertices are points of the d-dimensional combinatorial cube n and the edges are all sets of n points such that they are in one line. We study the structure of the group of automorphisms of H n, i.e., permutations of points of n d preserving the edges. In this paper we provide a complete characterization. Moreover, we consider the Colored Cube Isomorphism prob...

Representing a product system representation as a contractive semigroup and applications to regular isometric dilations

In this paper we propose a new technical tool for analyzing representations of Hilbert C∗-product systems. Using this tool, we give a new proof that every doubly commuting representation over N has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of Rk+.

Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LA- Semigroup

In this paper we define neutrosophic bi-LAsemigroup and neutrosophic N-LA-semigroup. Infact this paper is an extension of our previous paper neutrosophic left almost semigroup shortly neutrosophic LAsemigroup. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of neutrosophic ideal which is related to the strong or pure part of neu...