A Family of Quotients of the Rees Algebra
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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.
17 pages. To appear on "Communications in Algebra"
- University of Messina Italy
- Sapienza University of Rome Italy
- University of Genoa Italy
- Alma Mater Studiorum University of Bologna Italy
- Roma Tre University Italy
Algebroid curve; Duplication; Idealization, Rees algebra; duplication; idealization; numerical semigroup, FOS: Mathematics, 20M14, 13H10, 13A30, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Rees algebra; Nagata idealization; commutative ring
Algebroid curve; Duplication; Idealization, Rees algebra; duplication; idealization; numerical semigroup, FOS: Mathematics, 20M14, 13H10, 13A30, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Rees algebra; Nagata idealization; commutative ring
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