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Cocovers and tilting modules

Published online by Cambridge University Press:  24 October 2008

Jeremy Rickard  and
Aidan Schofield
Jeremy Rickard
Affiliation:
Christ's College, Cambridge CB2 3BU
Aidan Schofield
Affiliation:
University College London, Gower Street, London WC1E 6BT
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Extract

We recall [5] that a module T for a finite-dimensional algebra Λ is called a tilting module if

(i) T has protective dimension one;

(ii)

(iii) there is a short exact sequence 0 → Λ → T0 → T1 → 0 with T0 and T1 in add (T), the category of direct summands of direct sums of copies of T.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 1 , July 1989 , pp. 1 - 5
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

REFERENCES

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