Browse > Article
http://dx.doi.org/10.5831/HMJ.2018.40.2.227

DERIVATIONS OF A NON-ASSOCIATIVE GROWING ALGEBRA  

Choi, Seul Hee (Department of Mathematics, Jeonju University)
Publication Information
Honam Mathematical Journal / v.40, no.2, 2018 , pp. 227-237 More about this Journal
Abstract
There are various papers on finding all the derivations of a non-associative algebra and an anti-symmetrized algebra. We find all the derivations of a growing algebra in the paper. The dimension of derivations of the growing algebra is one and every derivation of the growing algebra is outer. We show that there is a class of purely outer algebras in this work.
Keywords
outer; non-associative algebra; derivation;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Seul Hee Choi, A growing algebra containing the polynomial ring, Honam Mathematical Journal, 32(3), (2010), 467-480.   DOI
2 Seul Hee Choi, An algebra with right identities and its antisymmetrized algebra, Honam Mathematical Journal, 29(2), (2007), 213-222.   DOI
3 Seul Hee Choi, New algebras using additive abelian groups I, Honam Mathematical Journal, 31(3), (2009), 407-419.   DOI
4 Seul Hee Choi and Ki-Bong Nam, Weyl type non-associative algebra using additive groups I, Algebra Colloquium, 14(3) (2007), 479-488.   DOI
5 Seul Hee Choi and Ki-Bong Nam, Derivations of a restricted Weyl Type Algebra I, Rocky Mountain Math. Journals, 37(6), (2007), 67-84.   DOI
6 Seul Hee Choi, Hong Goo Park, Moon-Ok Wang, and Ki-Bong Nam, Combinatorial algebra and its antisymmetrized algebra I, Algebra Colloquium, 22(1), (2015), 823-834.   DOI
7 Seul Hee Choi, Jongwoo Lee, and Ki-Bong Nam, Derivations of a restricted Weyl type algebra containing the polynomial ring, Communication in Algebra, 36(9), (2008), 3435 - 3446.   DOI
8 J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, (1987), 7-21.
9 T. Ikeda, N. Kawamoto and Ki-Bong Nam, A class of simple subalgebras of Generalized W algebras, Proceedings of the International Conference in 1998 at Pusan (Eds. A. C. Kim), Walter de Gruyter Gmbh Co. KG, (2000), 189-202.
10 V. G. Kac, Description of the filtered Lie algebras with which graded Lie algebras of Cartan type are associated, Izv. Akad. Nauk SSSR, Ser. Mat. Tom, 38, (1974), 832-834.
11 Jongwoo Lee and Ki-bong Nam, Non-Associative Algebras containing the Matrix Ring, Linear Algebra and its Applications 429(1), (2008), Pages 72-78.   DOI
12 Ki-Bong Nam, Generalized W and H Type Lie Algebras, Algebra Colloquium 6(3), (1999), 329-340.
13 Ki-Bong Nam, On Some Non-Associative Algebras Using Additive Groups, Southeast Asian Bulletin of Mathematics, 27, Springer Verlag, (2003), 493-500.
14 R. D. Schafer, Introduction to nonassociative algebras, Dover, (1995), 128-138.
15 Seul Hee Choi and Ki-Bong Nam, The Derivation of a Restricted Weyl Type Non-Associative Algebra, Hadronic Journal, 28(3), (2005), 287-295.