Vítězslav Kala

activity

20092020

most citedIdempotence of finitely generated commutative semifields

7 citations · 8 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2020

Sums of squares in $S$ -integers

Vítězslav Kala, Pavlo Yatsyna

In totally real number fields, we characterize the rings of $S$ -integers (obtained by inverting a rational integer $m$ ) such that all their totally positive elements are represente…

math.AC2019★ 7 cited

Idempotence of finitely generated commutative semifields

Vítězslav Kala, Miroslav Korbelář

We prove that a commutative parasemifield S is additively idempotent provided that it is finitely generated as a semiring. Consequently, every proper commutative semifield T that i…

math.CO2009★ 1 cited

Latin bitrades, dissections of equilateral triangles and abelian groups

Ales Drapal, Carlo Hamalainen, Viteslav Kala

Let $T = (T^{*}, T^{△})$ be a spherical latin bitrade. With each $a = (a_{1}, a_{2}, a_{3}) \in T^{*}$ associate a set of linear equatio…

Sums of squares in S-integers

Idempotence of finitely generated commutative semifields

Latin bitrades, dissections of equilateral triangles and abelian groups

Sums of squares in $S$ -integers