TL;DR
This paper introduces the concept of mbda-groups, a type of mbda-algebra with a norm that enables analysis of the continuity of operations and representations within these algebraic structures.
Contribution
It defines mbda-groups within mbda-algebras and explores how a norm facilitates the study of continuity of their operations and representations.
Findings
Defined mbda-groups in mbda-algebras
Established the role of norms in analyzing continuity
Provided a framework for representing mbda-groups
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.
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Taxonomy
TopicsAdvanced Algebra and Logic