N-ary Mal'tsev algebras

Algebra and Logic

Volumn 40, Issue 3, 2001, Pages 170-182

  Pozhidaev, A P ^a,b,c  

^a Alliance to Save Energy   (United States)

^b NATIONAL INSTITUTE OF OCCUPATIONAL HEALTH   (Norway)

^c YAMAGUCHI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33244466884     PISSN: 00025232     EISSN: 15738302     Source Type: Journal    
DOI: 10.1023/A:1010212318874     Document Type: Article

References (9)

1. V. T. Filippov, "n-Lie algebras," Sib. Mat. Zh., 26, No. 6, 126-140 (1985).
2. A. I. Mal'tsev, "Analytical loops," Mat. Sb., 36(78), No. 3, 569-576 (1955).
3. K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Rings That Are Nearly Associative [in Russian], Nauka, Moscow (1978).
4. N. Jacobson, Lie Algebras, Wiley, New York (1962).
5. Yu. P. Razmyslov, Identities of Algebras and Their Representations [in Russian], Nauka, Moscow (1989).
6. A. P. Pozhidaev, "Two classes of central simple n-Lie algebras," Sib. Math. Zh., 40, No. 6, 1313-1322 (1999).
7. Ling Wuxue, "On the structure of n-Lie algebras," Thesis, Siegen Univ.-GHS-Siegen (1993).
8. A. P. Pozhidaev, "Simple n-Lie algebras," Algebra Logika, 38, No. 3, 334-353 (1999).
9. R. B. Brown and A. Gray, "Vector cross products," Comm. Math. Helv., 42, No. 3, 222-236 (1967).