V.S. Guba and S.J. Pride. On the left and right cohomological dimension of monoids. Bulletin of the London Mathematical Society, 30:391-396, 1998. Home/Search Document Details and Download
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Some Exact Sequences for the Homotopy (bi-)module of a Monoid - Kobayashi, Otto (2000) (Correct)
....de ned. For a group the left cohomological dimension coincides with the right cohomological dimension, but for monoids the situation is quite di erent. In fact, for each pair of integer (n; m) there exists a nitely presented monoid L m;n such that cd ( L m;n ) m and cd (r) L m;n ) n [GP98] From Corollary 7.7 we can draw the following consequences regarding the left cohomological dimension of a monoid. Corollary 7.11. Let M be a monoid. a) If ( 0, then cd ( M) 2. b) If ( is a free left A module, then cd ( M) 3. By symmetry the corresponding ....
V.S. Guba and S.J. Pride. On the left and right cohomological dimension of monoids. Bulletin of the London Mathematical Society, 30:391-396, 1998.
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