B. Battseren

activity

20202025

most citedVon Neumann equivalence and group exactness

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2025

A quadratic form of $p = 3 k + 1$ primes

Bat-Od Battseren, Bayarmagnai Gombodorj

We use Zagier's one-sentence proof approach to show that a prime number $p$ admits a form $p = a^{2} + ab + b^{2}$ for some integers $a$ and $b$ if and only if $p = 3$ or $p \equiv 1 (mod 3)$ .

math.FA2024

$M_{d}$ -multipliers of a locally compact group

Bat-Od Battseren

We show that the space $M_{d} (G)$ of $M_{d}$ -multipliers of a locally compact group $G$ is isometrically isomorphic to the Banach space of bounded functionals on the $d$ -fold Haagerup…

math.GR2022

Quasi-Hermitian pair and co-amenability

Bat-Od Battseren

We adapt the notion of quasi-Hermition group to the pairs $(G, H)$ of discrete group $G$ and its subgroup $H$ . We show that a quasi-Hermitian pair is amenable in the sense of Eymard…

math.OA2022

Von Neumann equivalence and $M_{d}$ type approximation properties

Bat-Od Battseren

We show that $M_{d}$ -approximation-property, $M_{d}$ -weak-amenability, and $M_{d}$ -weak-Haagerup-property are stable under von Neumann equivalence (hence also Measure equivalence and W*-…

math.OA2022★ 3 cited

Von Neumann equivalence and group exactness

Bat-Od Battseren

We will show that group exactness is a von Neumann equivalence invariant. This result generalizes the previously known fact stating that group exactness is invariant under measure…

math.FA2020

On the growth of Fourier multipliers

Bat-Od Battseren

We define a sequence of functions, namely tame cuts, in the Fourier algebra $A (G)$ of a locally compact group $G$ , that satisfies certain convergence and growth conditions. This ne…

A quadratic form of p=3k+1 primes

Md​-multipliers of a locally compact group

Quasi-Hermitian pair and co-amenability

Von Neumann equivalence and Md​ type approximation properties

Von Neumann equivalence and group exactness

On the growth of Fourier multipliers

A quadratic form of $p = 3 k + 1$ primes

$M_{d}$ -multipliers of a locally compact group

Von Neumann equivalence and $M_{d}$ type approximation properties