Let Abe the fiber product Rx(T)B, where B -> T is a surjective ring homomorphism with regular kernel and R subset of T is a ring extension where Tis an overring of R. In this paper we provide a characterization of when Ahas distinguished Prufer-like properties and new constructions of Prufer rings with zero-divisors. Furthermore we give examples of homomorphic images of Prufer rings that are Prufer without assuming that the kernel of the surjection is regular. Finally we provide some remarks on the ideal theory of pre-Prufer rings. (C) 2021 Elsevier B.V. All rights reserved.
Some remarks on Prüfer rings with zero-divisors
Finocchiaro C. A.
2021-01-01
Abstract
Let Abe the fiber product Rx(T)B, where B -> T is a surjective ring homomorphism with regular kernel and R subset of T is a ring extension where Tis an overring of R. In this paper we provide a characterization of when Ahas distinguished Prufer-like properties and new constructions of Prufer rings with zero-divisors. Furthermore we give examples of homomorphic images of Prufer rings that are Prufer without assuming that the kernel of the surjection is regular. Finally we provide some remarks on the ideal theory of pre-Prufer rings. (C) 2021 Elsevier B.V. All rights reserved.File in questo prodotto:
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