Aufsatz in einer Fachzeitschrift
Some exact sequences for the homotopy (bi-)module of a monoid



Details zur Publikation
Autor(inn)en:
Kobayashi, Y.; Otto, F.
Publikationsjahr:
2002
Zeitschrift:
International Journal of Algebra and Computation
Seitenbereich:
247-284
Jahrgang/Band:
12

Zusammenfassung, Abstract
For finitely presented monoids the homological finiteness conditions left-FP3, left-FP4, right-FP3 and right-FP4, the homotopical finiteness conditions of having finite derivation type FDT and of being of finite homological type FHT are developed and the relationship between these notions is investigated in detail. In particular, a result of Pride [40] and Guba and Sapir [27] on the exactness of a sequence of bimodules for the homotopy module is proved in a completely different, purely combinatorial manner. This proof is then translated into a proof of the corresponding result for the left homotopy module, thus giving new insights into the relationship between the finiteness conditions considered.


Autor(inn)en / Herausgeber(innen)

Zuletzt aktualisiert 2019-01-11 um 16:06