Multipliers for semigroups

Extending Multipliers from Semigroups

A multiplier on a normal subsemigroup of a group can be extended to a multiplier on the group. This is used to show that normal cancellative semigroups have the same second cohomology as the group they generate, generalising earlier results of Arveson, ChernofF, and Dinh. The main tool is a dilation theorem for isometric multiplier representations of semigroups.

SEMIGROUPS OF WELL-BOUNDED OFERATORS AND MULTIPLIERS by

Constant Multipliers for FPGAs

This paper presents a survey of techniques to implement multiplications by constants on FPGAs. It shows in particular that a simple and well-known technique, canonical signed recoding, can help design smaller constant multiplier cores than those present in current libraries. An implementation of this idea in Xilinx JBits is detailed and discussed. The use of the latest algorithms for discoverin...

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

A Common Framework for Restriction Semigroups and Regular *-Semigroups

Left restriction semigroups have appeared at the convergence of several flows of research, including the theories of abstract semigroups, of partial mappings, of closure operations and even in logic. For instance, they model unary semigroups of partial mappings on a set, where the unary operation takes a map to the identity map on its domain. This perspective leads naturally to dual and two-sid...