Results 21 to 30 of about 21,877 (248)
FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2020 Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules.
J. Azami
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Rings Over Which Cyclics are Direct Sums of Projective and CS or Noetherian [PDF]
, 2009 R is called a right WV -ring if each simple right R-module is injective relative to proper cyclics. If R is a right WV -ring, then R is right uniform or a right V -ring.
A. Leroy +4 more
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Canadian Mathematical Bulletin, 1976 In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the
openaire +2 more sources
Abnormalities in Noetherian Rings [PDF]
Proceedings of the American Mathematical Society, 1979 If P ⊆ Q P \subseteq Q are prime ideals in some ring R and if rank Q = rank ( Q / P ) + rank P + k Q = {\text {rank}}(Q/P) + {\text {rank}}\;P + k , then
Arnold, J. T., Boisen, M. B. jun.
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Noetherian properties of Fargues-Fontaine curves [PDF]
, 2015 We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic p, which arise in p-adic Hodge theory as certain completed localizations of the ring of Witt vectors, are strongly noetherian Banach rings; that is,
Kedlaya, Kiran S.
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On stable noetherian rings [PDF]
Transactions of the American Mathematical Society, 1975 A ring R is called stable if every localizing subcategory of R M _R{\text {M}} is closed under taking injective envelopes. In this paper the stable noetherian rings are characterized in terms of the idempotent kernel functors of R
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Some results on PIT and GPIT theorems [PDF]
Journal of Hyperstructures, 2016 In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.
M. Ebrahimpour
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Totally acyclic complexes [PDF]
, 2016 For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of exact complexes $X$ having all cycles in $\A$, and by $dw(\A)$ the class of complexes $Y$ with all components $Y_j$ in $\A$.
Alina Iacob +31 more
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Locally Noetherian Commutative Rings [PDF]
Transactions of the American Mathematical Society, 1971 This paper centers around the theorem that a commutative ring R R is noetherian if every R P , P {R_P},P prime, is noetherian and every finitely generated ideal of R R has only finitely many weak-Bourbaki associated primes. A more
Heinzer, William, Ohm, Jack
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Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +2 more
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