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.
Barucci V., D'Anna M., Strazzanti F. (2015). A family of quotients of the Rees Algebra. COMMUNICATIONS IN ALGEBRA, 43(1), 130-142 [10.1080/00927872.2014.897549].
A family of quotients of the Rees Algebra
Strazzanti F.
2015
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.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
