Gergely Kiss

activity

20112026

most citedOn the discrete Fuglede and Pompeiu problems

22 citations · 77 across the 38 of their papers we have counts for

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6 papers · 1 filter

math.RA2020

Remarks on the notion of homo-derivations

Eszter Gselmann, Gergely Kiss

The purpose of this paper is to study the (different) notions of homo-derivations. These are additive mappings $f$ of a ring $R$ that also fulfill the identity \[ f(xy)=f(x)y+xf(y)…

math.RA2018

Characterizations of biselective operations

Jimmy Devillet, Gergely Kiss

Let $X$ be a nonempty set and let $i, j \in {1, 2, 3, 4}$ . We say that a binary operation $F : X^{2} \to X$ is $(i, j)$ -selective if $F (F (x_{1}, x_{2}), F (x_{3}, x_{4})) = F (x_{i}, x_{j}),$ for all $x…

math.RA2018

Derivations and differential operators on rings and fields

Gergely Kiss, Miklós Laczkovich

Let $R$ be an integral domain of characteristic zero. We prove that a function $D : R \to R$ is a derivation of order $n$ if and only if $D$ belongs to the closure of the set of…

math.RA2017

Visual characterization of associative quasitrivial nondecreasing operations on finite chains

Gergely Kiss

In this paper we provide visual characterization of associative quasitrivial nondecreasing operations on finite chains. We also provide a characterization of bisymmetric quasitrivi…

math.RA2017

Associative idempotent nondecreasing functions are reducible

Gergely Kiss, Gábor Somlai

An $n$ -ary associative function is called reducible if it can be written as a composition of a binary associative function. We summarize known results when the function is defined…

math.RA2017★ 10 cited

Characterizations of quasitrivial symmetric nondecreasing associative operations

Jimmy Devillet, Gergely Kiss, Jean-Luc Marichal

We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity c…