The mappings of degree 1

The maps of the form f(x)=∑i=1nai⋅x⋅bi, called 1-degree maps, are introduced and investigated. For noncommutative algebras and modules over them 1-degree maps give an analogy of linear maps and differentials. Under some conditions on the algebra 𝒜, contractibility of the group of 1-degree isomorphis...

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Bibliographic Details
Main Author: Maria N. Krein
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/90837