Commuting traces and commutativity preserving maps on triangular algebras
Copyright policy )Commuting traces and commutativity preserving maps on triangular algebras
The main result of the paper gives sufficient conditions under which every commuting trace of a bilinear map on a triangular algebra is of a standard form. These conditions are too technical to be stated here; let us just mention that they are fulfilled in the most important examples of triangular algebras. The main result is applied to the study of Lie isomorphisms and commutativity preserving maps on triangular algebras, yielding generalizations of several known results concerning these maps on some special triangular algebras (algebras of upper triangular matrices, nest algebras).
- University of Maribor Slovenia
Algebra and Number Theory, Commuting trace of a bilinear map, Actions of groups and semigroups; invariant theory (associative rings and algebras), Endomorphism rings; matrix rings, nest algebras, commutativity preserving maps, Triangular algebra, Other kinds of identities (generalized polynomial, rational, involution), bilinear maps, triangular algebras, commuting traces, Nest algebra, Commutativity preserving map, Lie isomorphism, Automorphisms and endomorphisms, Lie isomorphisms
Algebra and Number Theory, Commuting trace of a bilinear map, Actions of groups and semigroups; invariant theory (associative rings and algebras), Endomorphism rings; matrix rings, nest algebras, commutativity preserving maps, Triangular algebra, Other kinds of identities (generalized polynomial, rational, involution), bilinear maps, triangular algebras, commuting traces, Nest algebra, Commutativity preserving map, Lie isomorphism, Automorphisms and endomorphisms, Lie isomorphisms
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).62 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!