Duality pairs and FP-injective modules over formal triangular matrix rings

L Mao - Communications in Algebra, 2020 - Taylor & Francis
Abstract Suppose that T=(A 0 UB) is a formal triangular matrix ring, where A and B are rings
and U is a (B, A)-bimodule. We first study how to construct duality pairs of T-modules using
duality pairs of A-modules and B-modules. Then we describe the structures of FP-injective
left T-modules. Some applications are also given.
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