I. Banakh

activity

20102023

most citedOn Local Convexity Of Nonlinear Mappings Between Banach Spaces

2 citations · 4 across the 10 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.GR2023

Midconvex sets in Abelian groups

Iryna Banakh, Taras Banakh, Maria Kolinko +1

A subset $X$ of an Abelian group $G$ is called $mi d co n v e x$ if for every $x, y \in X$ the set $\frac{x + y}{2} = {z \in G : 2 z = x + y}$ is a subset of $X$ . We prove that a subset $X$ of an Abel…

math.GR2023

Semiaffine sets in Abelian groups

Iryna Banakh, Taras Banakh, Maria Kolinko +1

A subset $X$ of an Abelian group $G$ is called $se mia f f in e$ if for every $x, y, z \in X$ the set ${x + y - z, x - y + z}$ intersects $X$ . We prove that a subset $X$ of an Abelian group $G$ …

math.GR2020

A semigroup is finite if and only if it is chain-finite and antichain-finite

Iryna Banakh, Taras Banakh, Serhii Bardyla

A subset $A$ of a semigroup $S$ is called a $c hain$ ( $an t i c hain$ ) if $x y \in {x, y}$ ( $x y \in / {x, y}$ ) for any (distinct) elements $x, y \in S$ . A semigroup $S$ is called ( $an t i$ )$c…