Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 511-516
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A. N. Degtev. A family of maximal subalgebras of R. Robinson's algebra. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 511-516. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a5/
@article{MZM_1977_22_4_a5,
author = {A. N. Degtev},
title = {A~family of maximal subalgebras of {R.~Robinson's} algebra},
journal = {Matemati\v{c}eskie zametki},
pages = {511--516},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a5/}
}
TY - JOUR
AU - A. N. Degtev
TI - A family of maximal subalgebras of R. Robinson's algebra
JO - Matematičeskie zametki
PY - 1977
SP - 511
EP - 516
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a5/
LA - ru
ID - MZM_1977_22_4_a5
ER -
%0 Journal Article
%A A. N. Degtev
%T A family of maximal subalgebras of R. Robinson's algebra
%J Matematičeskie zametki
%D 1977
%P 511-516
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a5/
%G ru
%F MZM_1977_22_4_a5
All maximal sub algebras of the algebra of primitive recursive functions $\langle\Phi;+,*,i\rangle$, whose basic sets contain the set $$ A+\{f:f\equiv0\vee(\forall\,x)(x>0\Rightarrow f(x)>0)\} $$ are described. It is shown that they are continuum in number.
