Nonlinear generalized Lie triple derivation on triangular algebras
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DOI: 10.1080/00927872.2016.1264586
Abstract: ABSTRACT Let ℛ be a commutative ring with identity and let ???? = Tri(????,ℳ,ℬ) be a triangular algebra consisting of unital algebras ????,ℬ over ℛ and an (????,ℬ)-bimodule ℳ which is faithful as a left… read more here.
Keywords: nonlinear generalized; triple derivation; derivation; generalized lie ... See more keywords
Lie triple derivations of incidence algebras
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DOI: 10.1080/00927872.2018.1523422
Abstract: Abstract Let be a 2-torsion free commutative ring with unity, X a locally finite preordered set and the incidence algebra of X over . If X consists of a finite number of connected components, we… read more here.
Keywords: incidence; incidence algebras; derivations incidence; triple derivations ... See more keywords
Systems of quotients and Martindale-like quotients of Jordan–Lie triple systems
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DOI: 10.1080/00927872.2021.1920028
Abstract: Abstract This article is devoted to introducing the definition of systems of quotients of Jordan–Lie triple systems and surveying the vital properties which can be lifted from a Jordan–Lie triple system to systems of quotients… read more here.
Keywords: systems quotients; quotients jordan; jordan lie; martindale like ... See more keywords
Graded systems of quotients and Martindale-like quotients of graded Lie triple systems
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DOI: 10.1080/00927872.2022.2147534
Abstract: Abstract The paper is devoted to introducing graded systems of quotients of graded Lie triple systems, graded weak systems of quotients of graded Lie triple systems and graded systems of Martindale-like quotients of graded Lie… read more here.
Keywords: triple systems; quotients graded; graded systems; lie triple ... See more keywords
Nonlinear skew Lie triple centralizers (derivations) on *-algebras
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DOI: 10.2298/fil2418413l
Abstract: Let A be a unital *-algebra over the complex field C. In this paper, we prove that every nonlinear skew Lie (triple) centralizer on A is a linear *-centralizer. Under some mild conditions on A,… read more here.
Keywords: skew lie; triple centralizers; nonlinear skew; lie triple ... See more keywords