کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584472 1630488 2015 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The homotopy category and derived category of N-complexes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The homotopy category and derived category of N-complexes
چکیده انگلیسی

In this paper complexes with N-nilpotent differentials are considered. We describe the loop functor Ω and the suspension functor Σ   in the category CN(A)CN(A) of N  -complexes on an abelian category AA to provide an effective construction of left and right triangles in the homotopy category KN(A)KN(A) of N  -complexes, and prove that KN(A)KN(A) together with the functors Ω, Σ   and the classes of left and right triangles mentioned above is a pretriangulated category. We also investigate different homologies and get another example of pretriangulated categories, i.e., the derived category DN(A)DN(A) of N-complexes. Some basic properties are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 426, 15 March 2015, Pages 430–476
نویسندگان
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