A family of quotient rings of the Rees algebra associated to a com- mutative 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, FRANCESCO
2015

Abstract

A family of quotient rings of the Rees algebra associated to a com- mutative 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.
Barucci, V.; D'Anna, M.; Strazzanti, Francesco
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/502067
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