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періодичних видань НАН України
Two-step tilting for standardly stratified algebras
Репозиторій DSpace/Manakin
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Two-step tilting for standardly stratified algebras
Інший ID:
2000 Mathematics Subject Classification: 16E10, 16G10.
Посилання:
Two-step tilting for standardly stratified algebras / A. Frisk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 38–59. — Бібліогр.: 13 назв. — англ.
Підтримка:
The research was partially supported by The Swedish Foundation for
International Cooperation in Research and Higher Education (STINT).
The author thanks V. Mazorchuk for his help during the preparation of
the paper.
Дата:
2004
Переглядів:
462
Завантажень:
148
Анотація:
We study the class of standardly stratified algebras introduced by Cline, Parshall and Scott, and its subclass of the
so-called weakly properly stratified algebras, which generalizes the
class of properly stratified algebras introduced by Dlab. We characterize when the Ringel dual of a standardly stratified algebra is
weakly properly stratified and show the existence of a two-step tilting module. This allows us to calculate the finitistic dimension of
such algebras. Finally, we also give a construction showing that
each finite partially pre-ordered set gives rise to a weakly properly
stratified algebras with a simple preserving duality.
