کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4595697 | 1413385 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On intersections of two-sided ideals of Leavitt path algebras
ترجمه فارسی عنوان
درباره تقاطع های ایده آل های دوطرفه جبرهای مسیر لیویت
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Let E be an arbitrary directed graph and let L be the Leavitt path algebra of the graph E over a field K. It is shown that every ideal of L is an intersection of primitive/prime ideals in L if and only if the graph E satisfies Condition (K). Uniqueness theorems in representing an ideal of L as an irredundant intersection and also as an irredundant product of finitely many prime ideals are established. Leavitt path algebras containing only finitely many prime ideals and those in which every ideal is prime are described. Powers of a single ideal I are considered and it is shown that the intersection ⋂n=1∞In is the largest graded ideal of L contained in I. This leads to an analogue of Krull's theorem for Leavitt path algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 221, Issue 3, March 2017, Pages 632–644
Journal: Journal of Pure and Applied Algebra - Volume 221, Issue 3, March 2017, Pages 632–644
نویسندگان
Songül Esin, Müge Kanuni, Kulumani M. Rangaswamy,