|
| << previous | next >> |
Journal description
All volumes of the corresponding journal
All issues of the corresponding volume
All articles of the corresponding issues
Details for article 11 of 29 found articles
| Title: |
Homological Finiteness Conditions for Groups, Monoids, and Algebras |
| Author: |
Pride, Stephen J. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 34 (2006) nr. 10 pages 3525-3536 |
| Year: |
2006-10-01 |
| Contents: |
Recently, Alonso and Hermiller (2003) introduced a homological finiteness condition bi - FPn (here called “weak bi-FPn”) for monoid rings, and Kobayashi and Otto (2003) introduced a different property, also called bi - FPn (we adhere to their terminology). From these and other articles we know that: bi - FPn ⇒ left and right FPn ⇒ weak bi - FPn; the first implication is not reversible in general; the second implication is reversible for group rings. We show that the second implication is reversible in general, even for arbitrary associative algebras (Theorem 1'), and we show that the first implication is reversible for group rings (Theorem 2). We also show that the all four properties are equivalent for connected graded algebras (Theorem 4). |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 11 of 29 found articles
| << previous | next >> |