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Triangular matrix algebras over affine quasi-hereditary algebras
Linear Algebra and its Applications, 2022Quasi-hereditary algebras (and its module categories called highest weight categories) were introduced by \textit{E. Cline} et al. [J. Reine Angew. Math. 391, 85--99 (1988; Zbl 0657.18005)] with many applications to representation theory and other related fields. There are many ways to construct new quasi-hereditary algebras from old ones. Affine quasi-
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Quasi-hereditary algebras related to local algebras
Communications in Algebra, 1998For ⋀ a finite dimensional local algebra with radical N where Nn = 0 ≠ N n-1 define (as a right A-module), then A(⋀) is quasi-hereditary and it has a unique heredity ideal J 1(A).Assume ⋀ satisfies the right socle condition (the socle series and the radical series of ⋀⋀ coincide). We show that then the algebra Ai/J1 (Ai-1 ) is isomorphic to A i-1 where
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Semilocal modules and quasi-hereditary algebras
Archiv der Mathematik, 1993Let \(A\) be a finite-dimensional algebra over an algebraically closed field \(k\) and \(N\) the Jacobson radical of \(A\). If \(M\) is a finitely generated semilocal \(A\)-module with Loewy length \(m\), then \(\text{End}_ A(\bigoplus^ m_{i=1}M/N^ iM)\) is a quasi-hereditary algebra.
YANAN LIN, CHANGCHANG XI
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Ringel duals of quasi-hereditary algebras
Communications in Algebra, 1996(1996). Ringel duals of quasi-hereditary algebras. Communications in Algebra: Vol. 24, No. 9, pp. 2825-2838.
Bangming Deng, Changchang Xi
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A construction of quasi-hereditary endomorphism algebras
Applied Mathematics-A Journal of Chinese Universities, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact borel subalgebras of quasi-hereditary algebras. II
Communications in Algebra, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasi-hereditary algebras which are dual extensions of algebras
Communications in Algebra, 1994(1994). Quasi-hereditary algebras which are dual extensions of algebras. Communications in Algebra: Vol. 22, No. 12, pp. 4717-4735.
Bangming Deng, Changchang Xi
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Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras
manuscripta mathematica, 2009Consider a positively graded quasi-hereditary algebra \(A\). Then there exists the Ringel dual \(R(A)\) which is the endomorphism algebra of the characteristic tilting \(A\)-module, and the Kozsul dual \(E(A)\) which is an extension algebra of the direct sum of all simple \(A\)-modules.
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Quasi-hereditary algebras and tilting modules
Communications in Algebra, 1996(1996). Quasi-hereditary algebras and tilting modules. Communications in Algebra: Vol. 24, No. 12, pp. 3707-3717.
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Genetic testing in prostate cancer management: Considerations informing primary care
Ca-A Cancer Journal for Clinicians, 2022Veda N Giri +2 more
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