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Triangular Matrix Algebras Over Hensel Rings

1973
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Proceedings of the American Mathematical Society
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Let (R, m) be a local Hensel ring and A an algebra over R which is finitely generated and projective as an /{-module. If A contains a complete set of mutually orthogonal primitive idempotents eu---,e" indexed so that eiNe^mA whenever liy", we show that A is isomorphic to a generalized triangular matrix algebra and that A is the epimorphic image of a finitely generated, projective /{-algebra B of Hochschild dimension less than or equal to one. Introduction. The class of residue algebras of

doi:10.2307/2038708
fatcat:33ulivam65exbpime2b5ywp6ky