Journal of the Ramanujan Mathematical Society

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Noetherian Generalized Quotient Rings


Affiliations
1 Department of Mathematics, Pondicherry University, Pondicherry-605 014, India
     

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Let A denote a Commutative Noetherian ring. For an intermediate ring B in between A and the total quotient ring of A, which is flat over A, it is shown that B is noetherian. Further, if B ⊆AX, x is a non-zero divisor of A, then B is a finite type A-algebra. This generalizes the results of Richman [5] and Schenzel [6].

Keywords

Associated Prime Ideals, Flat Algebra, Total Quotient Rings.
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  • Noetherian Generalized Quotient Rings

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Authors

S. Mangayarcarassy
Department of Mathematics, Pondicherry University, Pondicherry-605 014, India

Abstract


Let A denote a Commutative Noetherian ring. For an intermediate ring B in between A and the total quotient ring of A, which is flat over A, it is shown that B is noetherian. Further, if B ⊆AX, x is a non-zero divisor of A, then B is a finite type A-algebra. This generalizes the results of Richman [5] and Schenzel [6].

Keywords


Associated Prime Ideals, Flat Algebra, Total Quotient Rings.