A characterization of the tangent function.
Classes of commutative rings characterized by going-up and going-down behavior
On Strong Going-Between, Going-Down, And Their Universalizations, II
We consider analogies between the logically independent properties of strong going-between (SGB) and going-down (GD), as well as analogies between the universalizations of these properties. Transfer results are obtained for the (universally) SGB property relative to pullbacks and Nagata ring constructions. It is shown that if are domains such that is an LFD universally going-down domain and is algebraic over , then the inclusion map satisfies GB for each . However, for any nonzero ring...
A spectral construction of a treed domain that is not going-down
Root closure in commutative rings
Pseudo-valuation rings. II
Viene data una condizione sufficiente affinchè un sopra-anello di un anello di pseudo-valutazione (PVR) sia ancora un PVR. Da ciò segue che se è un PVR, allora ogni sopra-anello di è un PVR se (e soltanto se) è quasi-locale per ciascun elemento di . Vari risultati sono dimostrati per un ideale primo di un anello commutativo arbitrario , avente come insieme di zero-divisori. Per esempio, se è un primo «forte» di e contiene un elemento non-zero divisore di , allora è un sopra-anello...
On locally divided integral domains and CPI-overrings.
A class of principal ideal rings arising from the converse of the Chinese remainder theorem.
Remarks on faithful flatness
Fragmented integral domains
Universally catenarian domains of D M type. II.
Interpolation by increasing polynomials
Commutative rings with homomorphic power functions.
Universal mapping properties of some pseudovaluation domains and related quasilocal domains.
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