Semilocal modules and quasi-hereditary algebras
Copyright policy )Semilocal modules and quasi-hereditary algebras
Let \(A\) 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.
- Xiamen University China (People's Republic of)
- Beijing Normal University China (People's Republic of)
- Beijing Normal University China (People's Republic of)
finitely generated semilocal \(A\)-module, Representations of orders, lattices, algebras over commutative rings, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., finite-dimensional algebra, quasi-hereditary algebra, Endomorphism rings; matrix rings, Jacobson radical, Loewy length
finitely generated semilocal \(A\)-module, Representations of orders, lattices, algebras over commutative rings, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., finite-dimensional algebra, quasi-hereditary algebra, Endomorphism rings; matrix rings, Jacobson radical, Loewy length
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