Geodesic
Complexes Over a Complete Algebra of Quotients
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 40-57

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

Let R be a commutative ring with unit and A be a unitary commutative R-algebra. Let As be a generalized algebra of quotients of A with respect to a multiplicatively closed subset S of A. If (A) and (As ) denote the categories of complexes and their homomorphisms over A and As respectively, then one easily sees that there exists a covariant functor T: (A) → (AS) such that T is onto and T(X, d) is universal over As whenever (X, d) is universal over A. Actually the category (AS) is equivalent to a subcategory of (A) where contains all those complexes (X, d) over A such that for each s in S, the module homomorphism φs: x → sx of Xn into itself is one-one and onto for each n ⩾ 1. 
Tewari, Krishna. Complexes Over a Complete Algebra of Quotients. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 40-57. doi: 10.4153/CJM-1967-005-5
@article{10_4153_CJM_1967_005_5,
     author = {Tewari, Krishna},
     title = {Complexes {Over} a {Complete} {Algebra} of {Quotients}},
     journal = {Canadian journal of mathematics},
     pages = {40--57},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-005-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-005-5/}
}
TY  - JOUR
AU  - Tewari, Krishna
TI  - Complexes Over a Complete Algebra of Quotients
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 40
EP  - 57
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-005-5/
DO  - 10.4153/CJM-1967-005-5
ID  - 10_4153_CJM_1967_005_5
ER  - 
%0 Journal Article
%A Tewari, Krishna
%T Complexes Over a Complete Algebra of Quotients
%J Canadian journal of mathematics
%D 1967
%P 40-57
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-005-5/
%R 10.4153/CJM-1967-005-5
%F 10_4153_CJM_1967_005_5

[1] 1. Bourbaki, N., Algèbre commutative, Chap. I (Paris, 1961). Google Scholar

[2] 2. Bourbaki, N., Algèbre, Chap. II (Paris, 1955). Google Scholar

[3] 3. Cartan, H. and Eilenberg, S., Homologuai algebra (Princeton, 1956). Google Scholar

[4] 4. Chevalley, C., Fundamental concepts of algebra (New York), 1956. Google Scholar

[5] 5. Kähler, E., Algebra und Differentialrechnung Bericht über die Mathematiker-Tagung in Berlin vom 14. bis 18. Januar 1953 (Berlin, 1954). Google Scholar

[6] 6. Lambek, J., On the structure of semi-prime rings and their rings of quotients, Can. J. Math., 13 (1961), 392–417. Google Scholar

Cité par Sources :