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Ascent and descent
for finite sequences of commuting endomorphisms
Luzius Grunenfelder and Matjaž Omladič |
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Vol. 191 (1999), No. 1, 95–121
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Abstract |
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Homological techniques involving the Koszul complex are used to define and explore two invariants, ascent and descent, for a finite sequence of commuting endomorphism of a module. It is shown in particular that, as in the case of a single endomorphism, if ascent and descent are both finite then they are equal, and that this finiteness condition is equivalent to a certain strong Fitting type property. |
Milestones
Received: 20 February 1998
Revised: 18 August 1998
Published: 1 November 1999
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Authors |
| Luzius Grunenfelder | |
| Department of Mathematics,
Statistics and Computing Science Dalhousie University Halifax, N.S. B3H 3J5 Canada |
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| Matjaž Omladič | |
| Department of Mathematics University of Ljubljana 61000 Ljubljana Slovenia |
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