کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777001 | 1413647 | 2017 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Answer to some open questions on covering dimension for finite lattices
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Dube, Georgiou, Megaritis and Moshokoa (2015) characterized the covering dimension of a finite lattice. The covering dimension is completely different from the order dimension. The covering dimension of a finite lattice L will be denoted by dim(L) in this paper. Dube, Georgiou, Megaritis and Moshokoa (2015) posed three open questions. In this paper we answer two of these three questions. Question 1 is that whether the relation dim(L1ÃL2)â¤dim(L1)+dim(L2)+1 holds for all finite lattices L1 and L2. We give a positive answer for the above Question 1. Question 2 is that whether the relation dim(L1âL2)â¤dim(L1)+dim(L2)+1 holds for all finite lattices L1 and L2. We give a negative answer to the above Question 2 by an example.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 5, May 2017, Pages 1086-1091
Journal: Discrete Mathematics - Volume 340, Issue 5, May 2017, Pages 1086-1091
نویسندگان
Hai-feng Zhang, Meng Zhou, Guang-jun Zhang,