## A (K, A) tree is normal if Vx ~ T3y, z ~ T(y fi z A y < x A z < x A h,r(y) = h,r(Z) --hT(x)+ 1), The elements p, q of an arbitrary partially ordered set P are called incompatible if they have no common lower bound in P. An antichain is a set of pairwise incompatible elements in P. B is an a-b
Matrix equivalence and isomorphism of modules
β Scribed by Robert M. Guralnick
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 746 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that for any ring \(R\) and any ring \(T\), if \(\operatorname{RFM}(R)\) is Morita equivalent to \(T\), then \(\operatorname{RFM}(R)\) is isomorphic to \(M_{n}(T)\) for some integer \(n\). We then use this to strengthen some results of Bonami and Camillo. 1995 Academic Press, Inc.
Taking the idea from classical Foxby equivalence, we develop an equivalence theory for derived categories over di erential graded algebras. Both classical Foxby equivalence and the Morita equivalence for complete modules and torsion modules developed by Dwyer and Greenlees arise as special cases.