Definition of Progenerator. Meaning of Progenerator. Synonyms of Progenerator

Here you will find one or more explanations in English for the word Progenerator. Also in the bottom left of the page several parts of wikipedia pages related to the word Progenerator and, of course, Progenerator synonyms and on the right images related to the word Progenerator.

Definition of Progenerator

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Meaning of Progenerator from wikipedia

- Finitely generated projective generators are also sometimes called progenerators for their module category. For every right-exact functor F from the...
- transferred authority back to British rulers. As such, Macsen is the common progenerator listed in the earliest Welsh genealogies and on the Pillar of Eliseg...
- ring. If an R module is finitely generated and projective (that is, a progenerator), then the endomorphism ring of the module and R share all Morita invariant...
- Jordan–Hölder theorem Artin–Rees lemma Schanuel's lemma Morita equivalence Progenerator Representation theory Algebra representation Group representation Lie...
- {\displaystyle R\cong \mathrm {End} _{B}(P)} where P is some finitely generated progenerator B. This is why the results are phrased in terms of indecomposable, basic...
- projective generators (even finitely generated projective generators, called progenerators) and minimal injective cogenerators. Both examples above have these...
- proof as the depth two hypothesis and might be avoided by imposing a progenerator module condition on A as a natural B-module. Tomasz Brzezinski; Robert...