Stratifying algebras with near-matrix algebras

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Stratifying Algebras with Near-matrix Algebras

Given a left module U and a right modules V over an algebra D and a bilinear form β : U × V → D, we may define an associative algebra structure on the tensor product V ⊗D U . This algebra is called a near-matrix algebra. In this paper, we shall investigate algebras filtered by near-matrix algebras in some nice way and give a unified treatment for quasi-hereditary algebras, cellular algebras, an...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2004

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2003.10.016