Cohn-Leavitt path algebras of bi-separated graphs

Mohan, R and Suhas, B. N. (2021) Cohn-Leavitt path algebras of bi-separated graphs. Communications in Algebra, 49 (5). pp. 1991-2021. ISSN 0092-7872

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Abstract

The purpose of this article is to provide a common framework for studying various generalizations of Leavitt path algebras. We first define Cohn–Leavitt path algebras of graphs with an additional structure called bi-separated graphs. We then define and study the category BSG of bi-separated graphs with appropriate morphisms so that the functor associating bi-separated graphs to their Cohn–Leavitt path algebras is continuous. Next, we define two subcategories of BSG, compute a basis for the algebras corresponding to one of these subcategories, and study some algebraic properties in terms of bi-separated graph-theoretic properties. Finally, we compute the �-monoid for some particular cases.

Item Type:	Article
Authors:	Mohan, R and Suhas, B. N.
Document Language:	Language English
Uncontrolled Keywords:	Cohn-Leavitt path algebras, Leavitt path algebras, Leavitt path algebras of hypergraphs, weighted Leavitt path algebras
Subjects:	Computer science, information & general works Azim Premji Foundation Structure > Azim Premji University - Bengaluru > Computer science, information & general works Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > School of Arts and Sciences
Full Text Status:	Restricted
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/7136
Publisher URL:	https://doi.org/10.1080/00927872.2020.1861286

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