Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 2, pp. 257-267
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E. E. Skurikhin. A generalized Dilworth and Gleason theorem. Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 2, pp. 257-267. http://geodesic.mathdoc.fr/item/DVMG_2021_21_2_a11/
@article{DVMG_2021_21_2_a11,
author = {E. E. Skurikhin},
title = {A generalized {Dilworth} and {Gleason} theorem},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {257--267},
year = {2021},
volume = {21},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2021_21_2_a11/}
}
TY - JOUR
AU - E. E. Skurikhin
TI - A generalized Dilworth and Gleason theorem
JO - Dalʹnevostočnyj matematičeskij žurnal
PY - 2021
SP - 257
EP - 267
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/DVMG_2021_21_2_a11/
LA - ru
ID - DVMG_2021_21_2_a11
ER -
%0 Journal Article
%A E. E. Skurikhin
%T A generalized Dilworth and Gleason theorem
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2021
%P 257-267
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/DVMG_2021_21_2_a11/
%G ru
%F DVMG_2021_21_2_a11
The theorem of R. P. Dilworth and A. M.Gleason is a generalization of a Cantor theorem. We propose and proof the generalized Dilworth and Gleason theorem for functors with codomain $K/D$.
[1] R. P. Dilworth, A. M. Gleason, “A generalized Cantor theorem”, Proc. Amer. Math. Soc, 13 (1962), 704–705 | DOI | MR | Zbl
[2] P. Kon, Universalnaya algebra, Mir, M., 1968
[3] A. Grothendieck (with M. Artin and J.-L. Verdier), Seminaire Geometrie Algebrique 4 [SGA4], Theorie de topos et cohomologie etale de schemas, v. 269, 270, Lect. Notes in Math., Springer, Heidelberg, 1972 | DOI
[4] S. Maklein, Kategorii dlya rabotayuschego matematika, Fizmatlit, M., 2004
[5] E. E. Skurikhin, “Predpuchki mnozhestv i deistviya polugrupp”, Dalnevostochnyi matematicheskii zhurnal, 19:1 (2019), 63–74 | MR | Zbl