A finiteness theorem in homological algebra
1961 ◽
Vol 57
(1)
◽
pp. 31-36
◽
Keyword(s):
In (1), (2), (3) and (4) it is shown that homological algebra (5) can be applied to stable homotopy-theory. In this application, we deal with A-modules, where A is the mod p Steenrod algebra. In the present paper, we shall prove a finiteness theorem for the cohomology of the Steenrod algebra. This theorem is stated as Corollary 2 below. It is purely algebraic, but it is not claimed that it has any algebraic interest; it is inspired solely by the application mentioned above. Here it has the following uses.
1966 ◽
Vol 62
(3)
◽
pp. 365-377
◽
Keyword(s):
1987 ◽
Vol 101
(2)
◽
pp. 249-257
◽
Keyword(s):
1995 ◽
Vol 27
(6)
◽
pp. 622-624
1966 ◽
pp. 22-37