کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497357 | 1630756 | 2005 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differential algebra for derivations with nontrivial commutation rules
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Differential algebra for derivations with nontrivial commutation rules Differential algebra for derivations with nontrivial commutation rules](/preview/png/9497357.png)
چکیده انگلیسی
The classical assumption of differential algebra, differential elimination theory and formal integrability theory is that the derivations do commute. This is the standard case arising from systems of partial differential equations written in terms of the derivations w.r.t. the independant variables. We inspect here the case where the derivations satisfy nontrivial commutation rules. Such a situation arises, for instance, when we consider a system of equations on the differential invariants of a Lie group action. We develop the algebraic foundations for such a situation. They lead to algorithms for completion to formal integrability and differential elimination.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 200, Issues 1â2, 1 August 2005, Pages 163-190
Journal: Journal of Pure and Applied Algebra - Volume 200, Issues 1â2, 1 August 2005, Pages 163-190
نویسندگان
Evelyne Hubert,