Local Moufang sets and PSL2 over a local ring

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

rigid resolution of a finitely generated module over a regular local ring

The Space of Local Fields as a Module over the Ring of Local Integrals of Motion

The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the recent construction of form factors by means of quantum affine algebra at root of unity due to Feigin et al. we construct a D-free resolution of the space of local fields. In general the cohomologies of the de Rham ty...

The Iteration Digraphs of Lambert Map Over the Local Ring $mathbb{Z}/p^kmathbb{Z}$ : Structures and Enumerations

Let $p$ be prime and $alpha:x mapsto xg^x$, the Discrete Lambert Map. For $kgeq 1,$ let $ V = {0, 1, 2, . . . , p^k-1}$. The iteration digraph is a directed graph with $V$ as the vertex set and there is a unique directed edge from $u$ to $alpha(u)$ for each $uin V.$ We denote this digraph by $G(g, p^{k}),$ where $gin (mathbb{Z}/p^kmathbb{Z})^*.$  In this piece of work, we investigate the struct...

IP Multicast over Token-Ring Local Area Networks

IP multicasting provides a means of transmitting IP datagrams to a group of hosts. A group IP address is used as the destination address in the IP datagram as documented in STD 5, RFC 1112 [1]. These group addresses, also referred to as Class D addresses, fall in the range from 224.0.0.0 to 239.255.255.255. A standard method of mapping IP multicast addresses to media types such as ethernet and ...