کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772839 | 1413389 | 2018 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Baer and Baer *-ring characterizations of Leavitt path algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Our characterizations provide a quick way to generate a wide variety of examples of rings. For example, creating a Baer and not a Baer â-ring, a Rickart â-ring which is not Baer, or a Baer and not a Rickart â-ring, is straightforward using the graph-theoretic properties from our results. In addition, our characterizations showcase more properties which distinguish behavior of Leavitt path algebras from their Câ-algebra counterparts. For example, while a graph Câ-algebra is Baer (and a Baer â-ring) if and only if the underlying graph is finite and acyclic, a Leavitt path algebra is Baer if and only if the graph is finite and no cycle has an exit, and it is a Baer â-ring if and only if the graph is a finite disjoint union of graphs which are finite and acyclic or loops.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 1, January 2018, Pages 39-60
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 1, January 2018, Pages 39-60
نویسندگان
Roozbeh Hazrat, Lia Vaš,