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Titlebook: Leavitt Path Algebras; Gene Abrams,Pere Ara,Mercedes Siles Molina Book 2017 Springer-Verlag London Ltd. 2017 Leavitt path algebras.graph C

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书目名称Leavitt Path Algebras
编辑Gene Abrams,Pere Ara,Mercedes Siles Molina
视频video
概述The first book solely devoted to Leavitt path algebras.Provides a self-contained and easy-to-read introduction to the subject.Carefully explains the connection between graph C*-algebras and Leavitt pa
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Leavitt Path Algebras;  Gene Abrams,Pere Ara,Mercedes Siles Molina Book 2017 Springer-Verlag London Ltd. 2017 Leavitt path algebras.graph C
描述This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume..Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry..Leavitt Path Algebras. will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible. .
出版日期Book 2017
关键词Leavitt path algebras; graph C*-algebras; ideal structure Leavitt path algebras; structure of idempoten
版次1
doihttps://doi.org/10.1007/978-1-4471-7344-1
isbn_softcover978-1-4471-7343-4
isbn_ebook978-1-4471-7344-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag London Ltd. 2017
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978-1-4471-7343-4Springer-Verlag London Ltd. 2017
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Leavitt Path Algebras978-1-4471-7344-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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General Ring-Theoretic Results,In this chapter we provide descriptions of Leavitt path algebras satisfying various well-studied ring-theoretic properties. These include: primeness and primitivity; chain conditions on one-sided ideals; self-injectivity; and the stable rank.
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Two-Sided Ideals,ls) for an arbitrary graph . and field .. This result utilizes the Structure Theorem for Graded Ideals together with the analysis of the ideal generated by vertices which lie on cycles having no exits. A number of ring-theoretic results follow almost immediately from the Structure Theorem for Ideals
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Book 2017h Algebras. will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible. .
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presentation in a series of publications on rotation radiography. The editor would like to express his deep appreciation to the contributors to this book as well as to the publishers Shujunsha, Japan and Springer Verlag. Spring 1983 SHINJI TAKAHASHI Contents Introduction. By S. TAKAHASHI . . . . . .
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