Commutant Duality

Ambar N. Sengupta ()
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Ambar N. Sengupta: Louisiana State University, Department of Mathematics

Chapter Chapter 9 in Representing Finite Groups, 2012, pp 249-266 from Springer

Abstract: Abstract Consider an Abelian group E, written additively, and a set S of homomorphisms, addition-preserving mappings, E → E. The commutantS com of S is the set of all maps f : E → E that preserve addition and for which $$f \circ s = s \circ f\mbox{ for all}s \in S.$$

Keywords: Dual Commutation; Simple Left Ideals; Semisimple Ring; Indecomposable Idempotent; Division Ring (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1231-1_9

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