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pro vyhledávání: '"Hazrat, R."'
A meteor graph is a connected graph with no sources and sinks consisting of two disjoint cycles and the paths connecting these cycles. We prove that two meteor graphs are shift equivalent if and only if they are strongly shift equivalent, if and only
Externí odkaz:
http://arxiv.org/abs/2304.05862
Autor:
Hazrat, R., Nam, T. G.
In this article, we realize ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these algebras. Using skew product groupoid, we show that ultragraph Leavit
Externí odkaz:
http://arxiv.org/abs/2008.04668
In his seminal paper, half a century ago, Hyman Bass established a commutator formula in the setting of (stable) general linear group which was the key step in defining the K_1 group. Namely, he proved that for an associative ring A with identity, E(
Externí odkaz:
http://arxiv.org/abs/1510.07143
Exactly 170 years ago, the construction of the real quaternion algebra by William Hamilton was announced in the Proceedings of the Royal Irish Academy. It became the first example of non-commutative division rings and a major turning point of algebra
Externí odkaz:
http://arxiv.org/abs/1302.0596
Autor:
Hazrat, R.
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynamics is related to the Morita theory and the Grothendieck group in the theory of Leavitt path algebras \cite{flowa}. In this paper we show that the not
Externí odkaz:
http://arxiv.org/abs/1209.2908
Autor:
Hazrat, R.
We relate two conjectures which have been raised for classification of Leavitt path algebras. For purely infinite simple unital Leavitt path algebras, it is conjectured that K_0 classifies them completely. For arbitrary Leavitt path algebras, it is c
Externí odkaz:
http://arxiv.org/abs/1204.3366
Autor:
Hazrat, R., Wadsworth, A. R.
For a simple graded algebra A=M_n(E) over a graded division algebra E, a short exact sequence relating the reduced Whitehead group of the homogeneous part of A to that of E is established. In particular it is shown that the homogeneous SK1 is not in
Externí odkaz:
http://arxiv.org/abs/1110.6585
Autor:
Hazrat, R., Zhang, Z.
Let A be a quasi-finite R-algebra (i.e., a direct limit of module finite algebras) with identity. Let I_i, i=0,...,m, be two-sided ideals of A, \GL_n(A,I_i) the principal congruence subgroup of level I_i in GL_n(A) and E_n(A,I_i) be the relative elem
Externí odkaz:
http://arxiv.org/abs/1107.3056
Autor:
Hazrat, R., Huettemann, T.
Publikováno v:
Journal of Homotopy and Related Structure 8 no. 2 (2013), pp. 231-238
We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded K-theory of Z
Externí odkaz:
http://arxiv.org/abs/1103.6132