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- W4300692981 abstract "We study Morita rings $Lambda_{(phi,psi)}=bigl({smallmatrix} A &_AN_B_BM_A & B {smallmatrix}bigr)$ in the context of Artin algebras from various perspectives. First we study covariant finite, contravariant finite, and functorially finite subcategories of the module category of a Morita ring when the bimodule homomorphisms $phi$ and $psi$ are zero. Further we give bounds for the global dimension of a Morita ring $Lambda_{(0,0)}$, regarded as an Artin algebra, in terms of the global dimensions of $A$ and $B$ in the case when both $phi$ and $psi$ are zero. We illustrate our bounds with some examples. Finally we investigate when a Morita ring is a Gorenstein Artin algebra and then we determine all the Gorenstein-projective modules over the Morita ring with $A=N=M=B=Lambda$, where $Lambda$ is an Artin algebra." @default.
- W4300692981 created "2022-10-04" @default.
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- W4300692981 date "2013-03-08" @default.
- W4300692981 modified "2023-10-16" @default.
- W4300692981 title "On Artin algebras arising from Morita contexts" @default.
- W4300692981 doi "https://doi.org/10.48550/arxiv.1303.2083" @default.
- W4300692981 hasPublicationYear "2013" @default.
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