- AN EXTENDED NON-ASSOCIATIVE ALGEBRA
- AN EXTENDED NON-ASSOCIATIVE ALGEBRA
- ㆍ 저자명
- Choi. Seul-Hee
- ㆍ 간행물명
- Honam mathematical journal
- ㆍ 권/호정보
- 2007년|29권 2호|pp.213-222 (10 pages)
- ㆍ 발행정보
- 호남수학회
- ㆍ 파일정보
- 정기간행물|ENG| PDF텍스트
- ㆍ 주제분야
- 기타
A Weyl type algebra is defined in the paper (see [2],[4], [6], [7]). A Weyl type non-associative algebra $ar{WN_{m,n,s}}$ and its restricted subalgebra $ar{WN_{m,n,s_r}}$ are defined in the papers (see [1], [14], [16]). Several authors find all the derivations of an associative (Lie or non-associative) algebra (see [3], [1], [5], [7], [10], [16]). We find Der($ar_{WN_{0,0,1_n}}$) of the algebra $ar_{WN_{0,0,1_n}}$ and show that the algebras $ar_{WN_{0,0,1_n}}$ and $ar_{WN_{0,0,s_1}}$ are not isomorphic in this work. We show that the associator of $ar_{WN_{0,0,1_n}}$ is zero.