کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497475 | 1630755 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On products and duality of binary, quadratic, regular operads
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On products and duality of binary, quadratic, regular operads On products and duality of binary, quadratic, regular operads](/preview/png/9497475.png)
چکیده انگلیسی
Since its introduction by Loday in 1995, with motivation from algebraic K-theory, dendriform dialgebras have been studied quite extensively with connections to several areas in Mathematics and Physics. A few more similar structures have been found recently, such as the tri-, quadri-, ennea- and octo-algebras, with increasing complexity in their constructions and properties. We consider these constructions as operads and their products and duals, in terms of generators and relations, with the goal to clarify and simplify the process of obtaining new algebra structures from known structures and from linear operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 200, Issue 3, 1 September 2005, Pages 293-317
Journal: Journal of Pure and Applied Algebra - Volume 200, Issue 3, 1 September 2005, Pages 293-317
نویسندگان
Kurusch Ebrahimi-Fard, Li Guo,