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Alternative and Jordan algebras admitting ternary derivations with invertible values Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2017, Volume: 14, Pages: 1505-1523 Pages count : 19 DOI: 10.17377/semi.2017.14.130
Tags Alternative algebras, Jordan algebras, Cayley–Dickson algebra, Albert algebra, derivation, generalized derivation, ternary derivation
Authors Zhelyabin V.N. 1 , Shestakov A.I. 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: In this paper we prove analogues of H. Komatsu and A. Nakajima theorems (see [1]) for alternative and Jordan algebras. In particular, we give a description of alternative and Jordan algebras which have ternary derivations with invertible values.
Cite: Zhelyabin V.N. , Shestakov A.I.
Alternative and Jordan algebras admitting ternary derivations with invertible values
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2017. Т.14. С.1505-1523. DOI: 10.17377/semi.2017.14.130 WOS Scopus
Dates:
Submitted: Oct 23, 2017
Published online: Dec 29, 2017
Identifiers:
Web of science: WOS:000454861900061
Scopus: 2-s2.0-85073805961
Citing:
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Web of science 4
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