6 citations · 7 across the 5 of their papers we have counts for
6 papers
One inequality inspired by Erdős
Barbora Batíková, Tomáš J. Kepka, Petr C. Němec
Inspired by the proof of the Bertrand postulate given by P. ErdőS, we carefully examine and solve one less usual inequality in positive integers which could help to find an arithme…
Additively idempotent matrix semirings
Tomáš Kepka, Miroslav Korbelář
Let be an additively idempotent semiring and be the semiring of all matrices over . We characterize the conditions of when the semiring $\mathb…
Congruence-simple semirings without nilpotent elements
Tomáš Kepka, Miroslav Korbelář, Günter Landsmann
We provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without non-trivial nilpotent elements.
Notes on additively divisible commutative semirings
Tomáš Kepka, Miroslav Korbelář
Commutative semirings with divisible additive semigroup are studied. We show that an additively divisible commutative semiring is idempotent, provided that it is finitely generated…
The lowest-degree polynomials with non-negative coefficients
Tomáš Kepka, Miroslav Korbelář
A polynomial is a divisor of some polynomial with non-negative coefficients if and only if does not have a positive real root. The…
The Structure of F-Quasigroups
Tomáš Kepka, Michael K. Kinyon, J. D. Phillips
We solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which…