کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584715 1630502 2014 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Primitive identities of skew derivations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Primitive identities of skew derivations
چکیده انگلیسی

The commutator δd−dδδd−dδ of two derivations δ,dδ,d always yields a derivation and must be inner if one of δ,dδ,d is inner. We generalize this to primitive expressions of skew derivations (Theorem 3.2 and Theorem 3.3). Our main results are Theorem 2.6 and Theorem 2.7. As applications, we first apply these to quantum Lie operations (Theorem 3.6). Then we extend Koryukin's counterexample [14] by adding primitive identities involving inner skew derivations (Theorem 3.7). We work in the setting of Hopf algebras and symmetric smash products. Theorem 1.3 is very useful in analyzing identities in this context.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 412, 15 August 2014, Pages 107–149
نویسندگان
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