Classes of commutative rings characterized by going-up and going-down behavior
Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 113-127. 
@article{RSMUP_1982__66__113_0,
     author = {Dobbs, David E. and Fontana, Marco},
     title = {Classes of commutative rings characterized by going-up and going-down behavior},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {113--127},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {66},
     year = {1982},
     mrnumber = {664575},
     zbl = {0483.13001},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1982__66__113_0/}
}
TY  - JOUR
AU  - Dobbs, David E.
AU  - Fontana, Marco
TI  - Classes of commutative rings characterized by going-up and going-down behavior
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1982
SP  - 113
EP  - 127
VL  - 66
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1982__66__113_0/
LA  - en
ID  - RSMUP_1982__66__113_0
ER  - 
%0 Journal Article
%A Dobbs, David E.
%A Fontana, Marco
%T Classes of commutative rings characterized by going-up and going-down behavior
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1982
%P 113-127
%V 66
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1982__66__113_0/
%G en
%F RSMUP_1982__66__113_0
Dobbs, David E.; Fontana, Marco. Classes of commutative rings characterized by going-up and going-down behavior. Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 113-127. http://www.numdam.org/item/RSMUP_1982__66__113_0/

[1] G. Artico - U. Marconi, On the compactness of minimal spectrum, Rend. Sem. Mat. Univ. Padova, 56 (1977), pp. 79-84. | Numdam | MR | Zbl

[2] C.E. Aull - W.J. Thron, Separation axioms between T0 and T1, Indagat. Math., 24 (1962), pp. 26-37. | MR | Zbl

[3] M. Auslander, On regular group rings, Proc. Amer. Math. Soc., 8 (1957), pp. 658-664. | MR | Zbl

[4] N. Bourbaki, Algèbre Commutative, Chs. 1-2, Hermann, Paris, 1961.

[5] A. Conte, Proprietà di separazione della topologia di Zariski di uno schema, Rend. Ist. Lombardo Sc. A, 106 (1972), pp. 79-111. | MR | Zbl

[6] G. De MARCO - A. ORSATTI, Commutative rings in which every prime ideal is contained in a unique maximal ideal, Proc. Amer. Math. Soc., 30 (1971), pp. 459-466. | MR | Zbl

[7] D.E. Dobbs - I. J. PAPICK, Going-down: a survey, Nieuw Arch. Wisk., 26 (1978), pp. 255-291. | MR | Zbl

[8] M. Fontana, Topologically defined classes of commutative rings, Annali Mat. Pura Appl., 123 (1980), pp. 331-355. | MR | Zbl

[9] M. Harada, Note on the dimension of modules and algebras, J. Inst. Polytech. Osaka City Univ. A, 7 (1956), pp. 17-27. | MR | Zbl

[10] B.W. Irlbeck, Finitely generated projective ideals in commutative rings, J. Reine Angew. Math., 298 (1978), pp. 98-100. | MR | Zbl

[11] I. Kaplansky, Commutative Rings, Allyn and Bacon, Boston, 1970. | MR | Zbl

[12] J.A. Kist, Minimal prime ideals in commutative semigroups, Proc. London Math. Soc., (3), 13 (1963), pp. 31-50. | MR | Zbl

[13] W.J. Lewis, The spectrum of a ring as a partially ordered set, J. Algebra, 25 (1973), pp. 419-434. | MR | Zbl

[14] W.J. Lewis - J. OHM, The ordering of Spec (R), Canad. J. Math., 28 (1976), pp. 820-835. | MR | Zbl

[15] T.P. Speed, A note on commutative Baer rings, J. Austral. Math. Soc., 14 (1972), pp. 257-263. | MR | Zbl

[16] W.V. Vasconcelos, Finiteness in projective ideals, J. Algebra, 25 (1973), pp. 269-278. | MR | Zbl