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Homological finite derivation type
RISE, Swedish ICT, SICS.
2003 (English)In: International journal of algebra and computation, ISSN 0218-1967, Vol. 13, no 3, p. 341-359Article in journal (Refereed) Published
Abstract [en]

In 1987, Squier defined the notion of finite derivation type for a finitely presented monoid. To do this, he associated a 2-complex to the presentation. The monoid then has finite derivation type if, modulo the action of the free monoid ring, the 1-dimensional homotopy of this complex is finitely generated. Cremanns and Otto showed that finite derivation type implies the homological finiteness condition left FP3, and when the monoid is a group, these two properties are equivalent. In this paper we define a new version of finite derivation type, based on homological information, together with an extension of this finite derivation type to higher dimensions, and show connections to homological type FPn for both monoids and groups.

Place, publisher, year, edition, pages
2003, 1. Vol. 13, no 3, p. 341-359
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-22382DOI: 10.1142/S0218196703001407OAI: oai:DiVA.org:ri-22382DiVA, id: diva2:1041927
Note

World Scientific Publishing Company.

Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2018-01-14Bibliographically approved

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