Generalized H-Lie structure of associative algebras in a category

作者：Wang SH^*; Kan HB; Chen HX

来源：Algebra Colloquium, 2002, 9(2): 143-154.

• quasi-triangular Hopf algebra
• H-Lie algebra
• H-commutative

We show that, if A is a sum of two H-commutative subalgebras, then the H-commutator ideal of A is nilpotent. This is inspired by a classical result of Kegel [9], which says that a ring is nilpotent if it is a sum of two nilpotent subrings. Then a partial analog of some results in [12] is shown in a more general quasi-triangular Hopf algebra setting.

• 出版日期2002-6
• 单位复旦大学; 河南师范大学