A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more recent concept, the amalgamated duplication of a ring. It is shown that several properties of the rings of this family do not depend on the particular member.

A family of quotients of the Rees Algebra

Strazzanti F.
2015-01-01

Abstract

A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more recent concept, the amalgamated duplication of a ring. It is shown that several properties of the rings of this family do not depend on the particular member.
2015
43
1
130
142
http://www.tandfonline.com/doi/full/10.1080/00927872.2014.897549#.VKWXJdKG-So
https://arxiv.org/abs/1403.4200
Rees algebra; duplication; idealization; numerical semigroup
Barucci V.; D'Anna M.; Strazzanti F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1789066
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