کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596309 1336161 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On integro-differential algebras
ترجمه فارسی عنوان
در انتگرال دیفرانسیل جبر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

The concept of integro-differential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integro-differential algebra with a weight, in analogy to the differential Rota–Baxter algebra. We construct free commutative integro-differential algebras with weight generated by a differential algebra. This gives in particular an explicit construction of the integro-differential algebra on one generator. Properties of the free objects are studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 3, March 2014, Pages 456-473