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Finitistic dimension and a homological generalization of semi-primary rings
Introduction. If P is a ring and M a left P-module, then homological algebra attaches three dimensions to M, projective, weak, and injective(1)By taking the supremum of one of these dimensions as MExpand
Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide?
TLDR
This is the story of a teacher's campaign to improve the quality of his or her education and the response of teachers and students to that campaign. Expand
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
Introduction I. The Jacobian Conjecture 1. Statement of the Jacobian Problem; first observations 2. Some history of the Jacobian Conjecture 3. Faulty proofs 4. The use of stabilization and of formalExpand
K-Theory and stable algebra
© Publications mathématiques de l’I.H.É.S., 1964, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
Algebraic K-theory
On the ubiquity of Gorenstein rings
Introduction APIARY [23~, and subsequently GORENSTEIN Eg] and SAMUEL [2(r proved 9 3-~ t that if (2 is a point on a plane curve then no=2d Q, where dQ=dlmw0/ 9 Q and nQ = dim C'Q/~Q, 9 being theExpand
Covering theory for graphs of groups
Abstract A tree action ( G, X ), consisting of a group G acting on a tree X , is encoded by a ‘quotient graph of groups’ A = G ⧹⧹ X . We introduce here the appropriate notion of morphism A → A′ = GExpand
Solution of the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≥ 2)
© Publications mathématiques de l’I.H.É.S., 1967, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
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