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 / Barucci, Valentina; M., D'Anna; F., Strazzanti. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 43:1(2015), pp. 130-142. [10.1080/00927872.2014.897549]
A family of quotients of the Rees algebra
BARUCCI, Valentina;
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.File allegati a questo prodotto
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