Normed Ω-Group
arXiv:1305.4547
Abstract
Since sum which is not necessarily commutative is defined in Ω-algebra A, then Ω-algebra A is called Ω-group. I also considered representation of Ω-group. Norm defined in Ω-group allows us to consider continuity of operations and continuity of representation.
English text - 51 pages; Russian text - 53 pages. Version 2: I added section dedicated to Ω-ring