Normed \Omega-Group
General Mathematics
2013-10-18 v2
Abstract
Since sum which is not necessarily commutative is defined in \Omega-algebra A, then \Omega-algebra A is called \Omega-group. I also considered representation of \Omega-group. Norm defined in \Omega-group allows us to consider continuity of operations and continuity of representation.
Keywords
Cite
@article{arxiv.1305.4547,
title = {Normed \Omega-Group},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:1305.4547},
year = {2013}
}
Comments
English text - 51 pages; Russian text - 53 pages. Version 2: I added section dedicated to \Omega-ring