Geodesic
Some results on coherent rings II
Glasgow mathematical journal, Tome 8 (1967) no. 2, pp. 123-126

Voir la notice de l'article provenant de la source Cambridge University Press

According to Bourbaki [1, pp. 62–63, Exercise 11], a left (resp. right) A-module M is said to be pseudo-coherent if every finitely generated submodule of M is finitely presented, and is said to be coherent if it is both pseudo-coherent and finitely generated. This Bourbaki reference contains various results on pseudo-coherent and coherent modules. Then, in [1, p. 63, Exercise 12], a ring which as a left (resp. right) module over itself is coherent is said to be a left (resp. right) coherent ring, and various results on and examples of coherent rings are presented. The result stated in [1, p. 63, Exercise 12a] is a basic theorem of [2] and first appeared there. A variety of results on and examples of coherent rings and modules are presented in [3]. 
Harris, Morton E. Some results on coherent rings II. Glasgow mathematical journal, Tome 8 (1967) no. 2, pp. 123-126. doi: 10.1017/S0017089500000185
@article{10_1017_S0017089500000185,
     author = {Harris, Morton E.},
     title = {Some results on coherent rings {II}},
     journal = {Glasgow mathematical journal},
     pages = {123--126},
     year = {1967},
     volume = {8},
     number = {2},
     doi = {10.1017/S0017089500000185},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000185/}
}
TY  - JOUR
AU  - Harris, Morton E.
TI  - Some results on coherent rings II
JO  - Glasgow mathematical journal
PY  - 1967
SP  - 123
EP  - 126
VL  - 8
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000185/
DO  - 10.1017/S0017089500000185
ID  - 10_1017_S0017089500000185
ER  - 
%0 Journal Article
%A Harris, Morton E.
%T Some results on coherent rings II
%J Glasgow mathematical journal
%D 1967
%P 123-126
%V 8
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000185/
%R 10.1017/S0017089500000185
%F 10_1017_S0017089500000185

[1] 1.Bourbaki, N., Algèbre commutative, Chapitres 1–2, Hermann (Paris, 1961). Google Scholar

[2] 2.Chase, S. U., Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457–473. Google Scholar | DOI

[3] 3.Harris, M. E., Some results on coherent rings, Proc. Amer. Math. Soc. 17 (1966), 474–479. Google Scholar | DOI

[4] 4.Nagata, M., Some remarks on prime divisors, Mem. Coll. Sci. Univ. Kyoto Ser. A 33 (1960), 297–299. Google Scholar

Cité par Sources :