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Showing 1 to 6 of 6 for “"Path Algebra"”.
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Steinberg algebra and Leavitt path algebras
Leavitt path algebras are a new and exciting subject in noncommutative ring theory. To each directed graph E, and unital commutative ring R, is associated an R-algebra called the Leavitt path algebra of E with coefficients in R. It was discovered, when the theory of Leavitt path algebras was …
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Resolutions and cohomology of finite dimensional algebras
… cohomology groups of certain finite dimensional algebras. So let A be a finite dimensional quotient of a path algebra. A method of modeling the enveloping algebra Ae of A on a computer is presented. Adding the extra hypothesis that A is a monomial algebra, we construct a minimal projective …
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Endomorphisms of Leavitt Path Algebras
… encoding information for certain classes of C*-algebras, particularly AF-algebras and Cuntz-Krieger algebras. These constructions have been generalized to a class of C*-algebras known as graph C*-algebras, which have found applications to several areas of C*-algebra theory. One prominent area of …
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Relating Thompson's group V to graphs of groups and Hecke algebras
… Pask, Spielberg and Thomas constructed a $C^*$-algebra for a graph of groups, writtten $C^*(\mathcal{G})$, which bears many similarities to the $C^*$-algebra of a directed graph $G$. Inspired by the fact that directed graph $C^*$-algebras $C^*(G)$ have algebraic analogues in Leavitt path …
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Analysis and Implementation of Algorithms for Noncommutative Algebra
A fundamental task of algebraists is to classify algebraic structures. For example, the classification of finite groups has been widely studied and has benefited from the use of computational tools. Advances in computer power have allowed researchers to attack problems never possible before. In …
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Groebner Finite Path Algebras
… multi-graph. In this paper I classify all path algebras KQ and admissible orders with the property that all of their finitely generated ideals have finite Groebner bases.