Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 595-600
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I. I. Perepechai. Algebraic form of aЁtheorem of Hahn–Banach type for lattice manifolds. Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 595-600. http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a11/
@article{MZM_1974_16_4_a11,
author = {I. I. Perepechai},
title = {Algebraic form of {a{\CYRYO}theorem} of {Hahn{\textendash}Banach} type for lattice manifolds},
journal = {Matemati\v{c}eskie zametki},
pages = {595--600},
year = {1974},
volume = {16},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a11/}
}
TY - JOUR
AU - I. I. Perepechai
TI - Algebraic form of aЁtheorem of Hahn–Banach type for lattice manifolds
JO - Matematičeskie zametki
PY - 1974
SP - 595
EP - 600
VL - 16
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a11/
LA - ru
ID - MZM_1974_16_4_a11
ER -
%0 Journal Article
%A I. I. Perepechai
%T Algebraic form of aЁtheorem of Hahn–Banach type for lattice manifolds
%J Matematičeskie zametki
%D 1974
%P 595-600
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a11/
%G ru
%F MZM_1974_16_4_a11
Let $E$ be a vector lattice. A linear functionalf on $E$ is called a lattice homomorphism if $f(\sup(x,y))=\max(f(x),f(y))$ for all $x,y\in E$. For lattice homomorphisms a theorem of Hahn–Banach type is valid. In this note we prove an algebraic analog of this theorem.
