Semiprimary hereditary algebras
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- by Abraham Zaks PDF
- Trans. Amer. Math. Soc. 154 (1971), 129-135 Request permission
Abstract:
Let $\Sigma$ be a semiprimary k-algebra, with radical M. If $\Sigma$ admits a splitting then ${\dim _k}\Sigma /M \leqq {\dim _k}\Sigma$. The residue algebra $\Sigma /{M^2}$ is finite (cohomological) dimensional if and only if all residue algebras are finite dimensional. If ${\dim _k}\Sigma = 1$ then all residue algebras are finite dimensional.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 154 (1971), 129-135
- MSC: Primary 16.90
- DOI: https://doi.org/10.1090/S0002-9947-1971-0276277-9
- MathSciNet review: 0276277