Year: 2015
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Krishnachandran, V. N.
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2257108759