TY - JOUR
AU - Eliza Jabłońska
PY - 2023/12/13
Y2 - 2024/09/11
TI - On almost everywhere K-additive set-valued maps
JF - Annales Mathematicae Silesianae
JA - AMSil
VL - 38
IS - 1
SE -
DO -
UR - https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16500
AB - Let X be an Abelian group, Y be a commutative monoid, K⊂Y be a submonoid and F:X→2Y\{∅} be a set-valued map. Under some additional assumptions on ideals 𝓘1 in X and 𝓘2 in X^2, we prove that if F is 𝓘2-almost everywhere K-additive, then there exists a unique up to K K-additive set-valued map G:X→2Y\{∅} such that F=G 𝓘1-almost everywhere in X. Our considerations refers to the well known de Bruijn’s result [1].
ER -