We consider whether the tilting properties of a tilting A-module T and a tilting B-module T′ can convey to their tensor product T ⊗ T′: The main result is that T ⊗ T′ turns out to be an (n + m)-tilting A ⊗ B-module, where T is an m-tilting A-module and T′ is an n-tilting B-module.
机构:
Tokyo Univ Agr & Technol, Div Math Sci, Inst Engn, 2-24-16 Naka Cho, Koganei, Tokyo 1848588, JapanTokyo Univ Agr & Technol, Div Math Sci, Inst Engn, 2-24-16 Naka Cho, Koganei, Tokyo 1848588, Japan
机构:
Hebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
Changchun Univ Sci & Technol, Dept Appl Math, Changchun 130022, Jilin, Peoples R ChinaHebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
Tan, Haijun
Zhao, Kaiming
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机构:
Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R ChinaHebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China