Geodesic
Inheritance of Properties of Spectra
Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 911-923.

Voir la notice de l'article provenant de la source Math-Net.Ru

A mechanism for the inheritance of properties of spectra by differential spectra is developed and applied to prove geometric properties of morphisms of differential algebraic varieties.
Keywords: inheritance of properties of spectra, differential algebraic variety, prime differential ideal, differential spectrum of a ring, Keigher ring, morphism of differential algebraic varieties, differentially finitely generated algebra, open map.
Mots-clés : dominant morphism 
@article{MZM_2010_88_6_a10,
     author = {D. V. Trushin},
     title = {Inheritance of {Properties} of {Spectra}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {911--923},
     publisher = {mathdoc},
     volume = {88},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a10/}
}
TY  - JOUR
AU  - D. V. Trushin
TI  - Inheritance of Properties of Spectra
JO  - Matematičeskie zametki
PY  - 2010
SP  - 911
EP  - 923
VL  - 88
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a10/
LA  - ru
ID  - MZM_2010_88_6_a10
ER  - 
%0 Journal Article
%A D. V. Trushin
%T Inheritance of Properties of Spectra
%J Matematičeskie zametki
%D 2010
%P 911-923
%V 88
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a10/
%G ru
%F MZM_2010_88_6_a10
D. V. Trushin. Inheritance of Properties of Spectra. Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 911-923. http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a10/

[1] P. J. Cassidy, “Differential algebraic groups”, Amer. J. Math., 94:3 (1972), 891–954 | DOI | MR | Zbl

[2] E. R. Kolchin, Differential Algebra and Algebraic Groups, Pure Appl. Math., 54, Academic Press, New York, 1973 | MR | Zbl

[3] E. R. Kolchin, Differential Algebraic Groups, Pure Appl. Math., 114, Academic Press, Orlando, FL, 1985 | MR | Zbl

[4] M. Atya, I. Makdonald, Vvedenie v kommutativnuyu algebru, Faktorial Press, M., 2003 | MR | Zbl

[5] I. Kaplanskii, Vvedenie v differentsialnuyu algebru, Biblioteka sbornika “Matematika”, IL, M., 1959 | MR | Zbl

[6] D. V. Trushin, “Ideal separant v koltse differentsialnykh mnogochlenov”, Fundament. i prikl. matem., 13:1 (2007), 215–227 | MR | Zbl

[7] H. Matsumura, Commutative Algebra, Math. Lecture Note Ser., 56, Benjamin/Cummings Publ., Reading, Mass., 1980 | MR | Zbl