Radical approach in BCH-algebras.
Roh, Eun Hwan (2004)
International Journal of Mathematics and Mathematical Sciences
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Roh, Eun Hwan (2004)
International Journal of Mathematics and Mathematical Sciences
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We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.
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We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.
Kirillov, A.A. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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