47 citations · 169 across the 62 of their papers we have counts for
4 papers · 2 filters
Multiple Commutator Formulas
R. Hazrat, Z. Zhang
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 congruenc…
Relative commutator calculus in Chevalley groups
Roozbeh Hazrat, Nikolai Vavilov, Zuhong Zhang
We revisit localisation and patching method in the setting of Chevalley groups. Introducing certain subgroups of relative elementary Chevalley groups, we develop relative versions…
The yoga of commutators
R. Hazrat, A. V. Stepanov, N. A. Vavilov +1
In the present paper we discuss some recent versions of localisation methods for calculations in the groups of points of algebraic-like and classical-like groups. Namely, we descri…
The graded Grothendieck group and the classification of Leavitt path algebras
R. Hazrat
This paper is an attempt to show that, parallel to Elliott's classification of AF -algebras by means of -theory, the graded -group classifies Leavitt path algebras com…