11 citations · 29 across the 9 of their papers we have counts for
9 papers
Torsion factors of commutative monoid semirings
Miroslav Korbelář
Let be a finitely generated commutative semiring. It was shown recently that if is a parasemifield (i.e. the multiplicative reduct of is a group) then cannot contai…
Clifford group is not a semidirect product in dimensions divisible by four
Miroslav Korbelář, Jiří Tolar
The paper is devoted to projective Clifford groups of quantum -dimensional systems. Clearly, Clifford gates allow only the simplest quantum computations which can be simulated o…
Congruence-simple matrix semirings
Vítězslav Kala, Tomáš Kepka, Miroslav Korbelář
It is well known that the full matrix ring over a skew-field is a simple ring. We generalize this theorem to the case of semirings. We characterize the case when the matrix semirin…
Congruence-simple multiplicatively idempotent semirings
Tomáš Kepka, Miroslav Korbelář, Günter Landsmann
Let be a multiplicatively idempotent congruence-simple semiring. We show that if has a multiplicatively absorbing element. We also prove that if is finite then…
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…
On three measures of non-convexity
Josef Cibulka, Miroslav Korbelář, Jan Kynčl +3
The invisibility graph of a set is a (possibly infinite) graph whose vertices are the points of and two vertices are connected by an edge if a…
Symmetries of finite Heisenberg groups for multipartite systems
M. Korbelar, J. Tolar
A composite quantum system comprising a finite number k of subsystems which are described with position and momentum variables in Z_{n_{i}}, i=1,...,k, is considered. Its Hilbert s…
Symmetries of finite Heisenberg groups for k-partite systems
M. Korbelar, J. Tolar
Symmetries of finite Heisenberg groups represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. This short contribution presents exten…
Symmetries of the finite Heisenberg group for composite systems
M. Korbelar, J. Tolar
Symmetries of the finite Heisenberg group represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. As is well known, these symmetries…