Let R be a commutative ring and let I be a nonzero proper ideal of R. In this paper, we study
the properties of a family of rings R (I) a, b, with a, b∈ R, as quotients of the Rees algebra⊕ …

Let R be a commutative ring with unit and M an R-module. M. Nagata, 1962, in an attempt to
derive primary decomposition of modules from primary decomposition of ideals, introduced …

Let $ A $ be a commutative ring with unit element and let $ A [X] $ denote a polynomial ring
over $ A $ with an indeterminate $ X $. For an ideal $\mathfrak {a} $ of $ A $ we put …

If there exists a finitely generated module M over a t-ring such that t M= Ann M t and M/t M is
of finite length, then we show that commutator ideal [q, q] is contained in tq, for some prime …

We study the Rees algebra R (E):= S (E)/τR (S (E)) of an ideal module E⊂ G≃ Re. We use
the technique of Bourbaki ideals introduced by Simis, Ulrich and Vasconcelos (2003)[22] to …

ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS Page 1 Kyushu J. Math.
66 (2012), 261–272 doi:10.2206/kyushujm.66.261 ON THE MULTIPLICITY OF REES …

On Rees Algebras with a Gorenstein Veronese Subring Page 1 Ž . JOURNAL OF ALGEBRA
200, 279311 1998 ARTICLE NO. JA977207 On Rees Algebras with a Gorenstein Veronese …

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 …

Let R= K [x1,..., xn] be the polynomial ring over a field K. The monomial ideals of R are ideals
generated by monomials and they have been intensively studied. Some problems arise …

Equations defining the multi-Rees algebras of powers of an ideal - ScienceDirect Skip to main
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