On n-coherent rings, n-hereditary rings and n-regular rings
Z Zhu - 2011 - sid.ir
Z Zhu
2011•sid.ir… Using the concepts of (n, 0)-injectivity and (n, 0)-flatness of modules, we also present
some characterizations of right n-coherent rings, right n-hereditary rings, and right n-regular
rings. … Moreover, we will generalize the concept of right semihereditary rings to right n-hereditary
rings, and then we will generalize the concepts of regular rings and n-von Neumann regular
rings to right nregular rings. Right n-coherent rings, right n-hereditary rings and right n-regular
rings will be characterized by (n,0)-injective right R-modules and (n,0)-flat left R-modules. (n,0)-injective …
some characterizations of right n-coherent rings, right n-hereditary rings, and right n-regular
rings. … Moreover, we will generalize the concept of right semihereditary rings to right n-hereditary
rings, and then we will generalize the concepts of regular rings and n-von Neumann regular
rings to right nregular rings. Right n-coherent rings, right n-hereditary rings and right n-regular
rings will be characterized by (n,0)-injective right R-modules and (n,0)-flat left R-modules. (n,0)-injective …
Abstract
We observe some new characterizations of n-presented modules. Using the concepts of (n, 0)-injectivity and (n, 0)-flatness of modules, we also present some characterizations of right n-coherent rings, right n-hereditary rings, and right n-regular rings.
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