Homological dimensions of special modules over formal triangular matrix rings
L Mao - Journal of Algebra and Its Applications, 2022 - World Scientific
L Mao
Journal of Algebra and Its Applications, 2022•World Scientific… The present paper is devoted to some isomorphisms of homological groups and formulas
of homological dimensions of special modules over a formal triangular matrix ring T = …
always means a formal triangular matrix ring in this paper, where A and B are rings and U is
a (B,A)-bimodule. By [10, Theorem 1.5], the category T-Mod of left T-modules is equivalent
to the category Ω whose objects are triples M = (M1 …
of homological dimensions of special modules over a formal triangular matrix ring T = …
always means a formal triangular matrix ring in this paper, where A and B are rings and U is
a (B,A)-bimodule. By [10, Theorem 1.5], the category T-Mod of left T-modules is equivalent
to the category Ω whose objects are triples M = (M1 …
Let T = A0 U B be a formal triangular matrix ring, where and are rings and is a -bimodule. We give some computing formulas of homological dimensions of special -modules. As an application, we describe the structures of -tilting left -modules.
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