arXiv subjects

Bayarjargal Batsukh

Publications and source records attributed to Bayarjargal Batsukh.

3 recordsLinked to original sources

arXiv2026

Lie symmetries of a generalized Fisher equation in cylindrical coordinates

In this work we studied a generalized Fisher equation in cylindrical coordinate using Lie symmetry method. We have determined for what type of source function the generalized Fisher equation has Lie Symmetries other than time translation symmetry when the diffusion function is given by an exponential function. Also the reduced ordinary differential equations are obtained corresponding to Lie symmetries of the generalized Fisher equation.

math-ph↗

arXiv2017

Hilbert-Kunz multiplicity of binoids

We prove in a broad combinatorial setting, namely for finitely generated semipositive cancellative reduced binoids, that the Hilbert-Kunz multiplicity is a rational number independent of the characteristic.

math.AC↗

arXiv2016

Hilbert-Kunz theory for binoids

We develop Hilbert-Kunz theory in a combinatorial setting namely for binoids. We show that the Hilbert-Kunz multiplicity for commutative, finitely generated, semipositive, cancellative and reduced binoids exists and is a rational number. This implies that the corresponding Hilbert-Kunz multiplicity for the binoid algebras does not depend on the characteristic.

math.AC↗