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The concept of the characteristic tilting module and of the Ringel dual for quasihereditary algebras is generalized for the setting of standardly stratified algebras.

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The paper generalizes some of our previous results on quasi-hereditary Koszul algebras to graded standardly stratified Koszul algebras. The main result states that the class of standardly stratified algebras for which the left standard modules as well as the right proper standard modules possess a linear projective resolution -the so called linearly stratified algebras -is closed under forming their Yoneda extension algebras. This is proved using the technique of Hilbert and Poincaré series of the corresponding modules.

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