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Nonlinear Lie derivations of incidence algebras of finite rank.
- Source :
-
Linear & Multilinear Algebra . Aug2021, Vol. 69 Issue 9, p1665-1682. 18p. - Publication Year :
- 2021
-
Abstract
- Let (X , ≤) be a finite preordered set, R a 2-torsion free commutative ring with unity and I (X , R) the incidence algebra of X over R. In this paper we prove that every nonlinear Lie derivation of I (X , R) is of the standard form. More explicitly, each nonlinear Lie derivation of I (X , R) is a sum of an inner derivation, a transitive induced derivation, an additive induced derivation and a central-valued map. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*FINITE, The
*COMMUTATIVE rings
*COMMUTATIVE algebra
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 69
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 150769214
- Full Text :
- https://doi.org/10.1080/03081087.2019.1635979