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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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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.

Information

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

References

REFERENCES

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