Imbeddability of a commutative ring in a finite-dimensional ring.
Robert Gilmer, William Heinzer (1994)
Manuscripta mathematica
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Displaying similar documents to “Some Homological properties of commutative semitrivial ring extensions.”
Imbeddability of a commutative ring in a finite-dimensional ring.
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We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.
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Colloquium Mathematicae
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Starting from an arbitrary ring R we provide a systematic construction of ℤ/nℤ-graded rings A which are Frobenius extensions of R, and show that under mild assumptions, A is an Auslander-Gorenstein local ring if and only if so is R.
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When is a Ring of Torus Invariants a Polynomial Ring?
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