On normed semigroups
Rings and Algebras
2015-08-18 v1 Group Theory
Abstract
The paper begins by exploring the various definitions of norms on semigroups and then presents a new definition of a normed semigroup. The properties of normed semigroups in the new sense are investigated. The new definition of the norm is used to establish a general result on topological regular semigroups which is then used to prove the surprising result that the semigroup M_n(K) is not a topological regular semigroup.
Cite
@article{arxiv.1508.03844,
title = {On normed semigroups},
author = {V. N. Krishnachandran},
journal= {arXiv preprint arXiv:1508.03844},
year = {2015}
}
Comments
10 pages, 1 figure