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arxiv: 1305.4547 · v2 · pith:MJJLE6KXnew · submitted 2013-05-15 · 🧮 math.GM

Normed Ω-Group

classification 🧮 math.GM
keywords omega-groupcontinuitydefinedomega-algebrarepresentationallowscalledcommutative
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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.

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