کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598335 1336277 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Injectivity and sections
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Injectivity and sections
چکیده انگلیسی

We investigate injectivity in a comma-category C/BC/B using the notion of the “object of sections” S(f)S(f) of a given morphism f:X→Bf:X→B in C. We first obtain that f:X→Bf:X→B is injective in C/BC/B if and only if the morphism 〈1X,f〉:X→X×B〈1X,f〉:X→X×B is a section in C/BC/B and the object S(f)S(f) of sections of ff is injective in C. Using this approach, we study injective objects ff with respect to the class of embeddings in the categories ContL/BContL/B (AlgL/BAlgL/B) of continuous (algebraic) lattices over BB. As a result, we obtain both topological (every fiber of ff has maximum and minimum elements and ff is open and closed) and algebraic (ff is a complete lattice homomorphism) characterizations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 204, Issue 1, January 2006, Pages 79–89
نویسندگان
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