Cohomological dimension

Author(s):  
Karl W. Gruenberg





2018 ◽  
Vol 10 (1) ◽  
pp. 41-61
Author(s):  
Daciberg Lima Gonçalves ◽  
John Guaschi ◽  
Miguel Maldonado


1955 ◽  
Vol 8 ◽  
pp. 49-57 ◽  
Author(s):  
Samuel Eilenberg ◽  
Masatoshi Ikeda ◽  
Tadasi Nakayama

In [5], Ikeda-Nagao-Nakayama gave a characterization of algebras of cohomological dimension ≦n In a subsequent paper [4] Eilenberg gave an alternative treatment of the same question. The present paper is devoted to the discussion of a number of questions suggested by the results of [4] and [5]. Among others it is shown that the conditions employed in stating the main results in [4] and [5] are equivalent, so that the main results of these two papers are in accord. Further, the cohomological dimension of a residue-algebra is studied in terms of that of the original algebra and the (module-) dimension of the associated ideal. The terminology and notation employed here are that of [3].







1977 ◽  
Vol 52 (1) ◽  
pp. 111-127 ◽  
Author(s):  
Kenneth S. Brown ◽  
Peter J. Kahn




1982 ◽  
Vol 66 (1) ◽  
pp. 89-98 ◽  
Author(s):  
Roger C. Alperin ◽  
Peter B. Shalen


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