کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596496 1336169 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An axiomatic construction of an almost full embedding of the category of graphs into the category of R-objects
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An axiomatic construction of an almost full embedding of the category of graphs into the category of R-objects
چکیده انگلیسی
We construct embeddings G of the category of graphs into categories of R-modules over a commutative ring R which are almost full in the sense that the maps induced by the functoriality of GR[HomGraphs(X,Y)]⟶HomR(GX,GY) are isomorphisms. The symbol R[S] above denotes the free R-module with the basis S. This implies that, for any cotorsion-free ring R, the categories of R-modules are not less complicated than the category of graphs. A similar embedding of graphs into the category of vector spaces with four distinguished subspaces (over any field, e.g. F2={0,1}) is obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 2, February 2014, Pages 208-217
نویسندگان
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