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최설희 호남수학회 2005 호남수학학술지 Vol.27 No.4
The Weyl-type non-associative algebra WNgn,m,sr and its subalgebra WNn,m,sr are defined and studied in the papers [8],[9], [10], [12]. We will prove that the Weyl-type non-associative algebra WNn,0,0[2] and its corresponding semi-Lie algebra are simple. We find the non-associative algebra automorphism group Autnon(WN1,0,0[2]).
NEW ALGEBRAS USING ADDITIVE ABELIAN GROUPS I
최설희 호남수학회 2009 호남수학학술지 Vol.31 No.3
The simple non-associative algebra N(eAS , q, n, t)k and its simple sub- algebras are de¯ned in the papers [1], [3], [4], [5], [6], [12]. We define the non-associative algebra [수식] and its antisymmetrized algebra [수식]. We also prove that the algebras are simple in this work. There are various papers on finding all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra (see [3], [5], [6], [9], [12], [14], [15]). We also find all the derivations [수식] of the antisymmetrized algebra [수식] and every derivation of the algebra is outer in this paper.
An Algebra with Right Identities and Its Antisymmetrized Algebra
최설희 호남수학회 2008 호남수학학술지 Vol.30 No.2
We dene the Lie-admissible algebraNW [수식]in this work. We show that the algebra and its antisym-metrized (i.e., Lie) algebra are simple. We also nd all the deriva-tions of the algebraNW[수식]and its antisymmetrized alge-bra W[수식]in the paper.
A GROWING ALGEBRA CONTAINING THE POLYNOMIAL RING
최설희 호남수학회 2010 호남수학학술지 Vol.32 No.3
There are various papers on finding all the derivations of a non-associative algebra and an anti-symmetrized algebra (see [2], [3], [4],[5], [6], [10], [13], [15], [16]). We ¯nd all the derivations of the growing algebra WN(e±x1x2x3,0,3)[1] with the set of all right annihilators T3 ={id ∂1,∂2,∂3}in the paper. The dimension of Dernon(WN(e±x1x2x3,0,3)[1]) of the algebra WN(e±x1x2x3,0,3)[1] is one and every derivation of the algebra WN(e±x1x2x3,0,3)[1] is outer. We show that there is a class P of purely outer algebras in this work.
Derivations of a Weyl type non-associative algebra on a Laurent extension
최설희 대한수학회 2006 대한수학회보 Vol.43 No.3
A Weyl type algebra is dened in the book ([4]). AWeyl type non-associative algebraWPm;n;s and its restricted sub-algebraWPm;n;s r are dened in various papers ([1], [12], [3], [11]).Several authors nd all the derivations of an associative (Lie or non-associative) algebra in the papers ([1], [2], [12], [4], [6], [11]). We ndall the non-associative algebra derivations of the non-associative al-$\overline{WP_{0,2,0}}_{B}$, where $B=\{\partial_0, \partial_1, \partial_2, \partial_{12},\partial_{1}^2, \partial_{2}^2 \}.$
Notes on a Non-Associative Algebras with Exponential Functions I
최설희 호남수학회 2006 호남수학학술지 Vol.28 No.2
For the evaluation algebra F[e±x]M, if M = {∂}, the automorphism group Autnon(F[e±x]M) and Dernon(F[e±x]M) of the evaluation algebra F[e±x]M are found in the paper [12]. For M = {∂n}, we find Autnon(F[e±x]M)) and Dernon(F[e±x]M)) of the evaluation algebra F[e±x]M in this paper. We show that a derivation of some non-associative algebra is not inner.
최설희 호남수학회 2005 호남수학학술지 Vol.27 No.4
The Weyl-type non-associative algebra WNgn,m,sr and its subalgebra WNn,m,sr are defined and studied in the papers [2], [3], [9], [11], [12]. We find the derivation group Dernon(WN1,0,0[2]) the non-associative simple algebra WN1,0,0[2].
DERIVATIONS OF A COMBINATORIAL LIE ALGEBRA
최설희 호남수학회 2014 호남수학학술지 Vol.36 No.3
We consider the simple antisymmetrized algebra N(e P,n,t)1 ̄. The simple non-associative algebra and its simple subalgebras are defined in the papers [1], [3], [4], [5], [6], [8], [13]. Some authors found all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra in their papers [2], [3], [5], [7], [9], [10], [13], [15], [16]. We find all the derivations of the Lie subalgebra N(e±x1x2x3,0,3)[1] ̄ of N(e P,n,t)k ̄ in this paper.
NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS
최설희 호남수학회 2014 호남수학학술지 Vol.36 No.1
In this paper, we consider the simple non-associative algebra [수식]. There are many papers on finding the derivations of an associative algebra, a Lie algebra, and a non-associative algebra (see [2], [3], [4], [5], [6], [7], [12], [14]). We find all the derivations of the algebra [수식]