کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772138 | 1630438 | 2017 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Realizing posets as prime spectra of Leavitt path algebras
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We associate in a natural way to any partially ordered set (P,â¤) a directed graph EP (where the vertices of EP correspond to the elements of P, and the edges of EP correspond to related pairs of elements of P), and then describe the prime spectrum Spec(LK(EP)) of the resulting Leavitt path algebra LK(EP). This construction allows us to realize a wide class of partially ordered sets as the prime spectra of rings. More specifically, any partially ordered set in which every downward directed subset has a greatest lower bound, and where these greatest lower bounds satisfy certain compatibility conditions, can be so realized. In particular, any partially ordered set satisfying the descending chain condition is in this class.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 476, 15 April 2017, Pages 267-296
Journal: Journal of Algebra - Volume 476, 15 April 2017, Pages 267-296
نویسندگان
G. Abrams, G. Aranda Pino, Z. Mesyan, C. Smith,