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Communications in Algebra Volume 20, 1992 - Issue 6
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Original Articles

On minimal overrings of a noetherian domain

Junro Sato Department of Applied Mathematics, Okayama University of Science, Ridai-Cho, Okayama, 700, Japan
,
Takasi Sugatani Department of Mathematics, Toyama Unversity, Gofuku, Toyama, 930, Japan
&
Ken-ichi Yoshida Department of Applied Mathematics, Okayama University of Science, Ridai-Cho, Okayama, 700, Japan
Pages 1735-1746 | Received 01 Mar 1991, Published online: 27 Jun 2007

Citations (22)

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Alborz Azarang. (2022) Conch maximal subrings. Communications in Algebra 50:3, pages 1267-1282.
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Ahmed Ayache. (2015) The Set of Intermediate Rings as a Boolean Algebra. Communications in Algebra 43:4, pages 1377-1386.
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Ahmed Ayache. (2013) A Constructive Study About the Set of Intermediate Rings. Communications in Algebra 41:12, pages 4637-4661.
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ThomasJ. Dorsey & Zachary Mesyan. (2009) On Minimal Extensions of Rings. Communications in Algebra 37:10, pages 3463-3486.
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DavidE. Dobbs. (2009) Extensions of Integral Domains with Infinite Chains of Intermediate Rings. Communications in Algebra 37:2, pages 604-608.
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DavidE. Dobbs. (2007) A Sufficient Condition for a Minimal Ring Extension to Be an Overring. Communications in Algebra 35:3, pages 773-779.
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DavidE. Dobbs. (2006) Every Commutative Ring Has a Minimal Ring Extension. Communications in Algebra 34:10, pages 3875-3881.
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Ahmed Ayache. (2003) Minimal Overrings of an Integrally Closed Domain. Communications in Algebra 31:12, pages 5693-5714.
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M. Oukessou & A. Miri. (2003) Sur les Suranneaux Minimaux. II. Communications in Algebra 31:12, pages 5683-5692.
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Articles from other publishers (13)

Naseam Al-Kuleab & Noômen Jarboui. (2022) Characterizations of Pairs of Rings with Few Non-Dedekind Intermediary Rings. Journal of Mathematics 2022, pages 1-8.
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Bana Al Subaiei & Noômen Jarboui. (2021) On the Commutative Ring Extensions with at Most Two Non Prüfer Intermediate Rings. Mediterranean Journal of Mathematics 18:4.
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Noômen Jarboui. (2020) Pairs of domains where most of the intermediate domains are Prüfer. Journal of Algebra and Its Applications 20:06, pages 2150101.
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Noômen Jarboui, Naseam Al-Kuleab & Omar Almallah. (2020) Ring Extensions with Finitely Many Non-Artinian Intermediate Rings. Journal of Mathematics 2020, pages 1-6.
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Naseam Al-Kuleab, Noômen Jarboui & Almallah Omar. (2018) Maximal non-prime ideally equal subrings of a commutative ring. Ricerche di Matematica 67:2, pages 951-962.
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Ahmed Ayache & David E. Dobbs. (2016) Strongly divided domains. Ricerche di Matematica 65:1, pages 127-154.
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Ahmed Ayache. (2010) Some finiteness chain conditions on the set of intermediate rings. Journal of Algebra 323:11, pages 3111-3123.
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PAUL-JEAN CAHEN, DAVID E. DOBBS & THOMAS G. LUCAS. (2011) VALUATIVE DOMAINS. Journal of Algebra and Its Applications 09:01, pages 43-72.
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AHMED AYACHE, DAVID E. DOBBSOTHMAN ECHI. (2011) ON MAXIMAL NON-ACCP SUBRINGS. Journal of Algebra and Its Applications 06:05, pages 873-894.
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David E. Dobbs & Jay Shapiro. (2007) A classification of the minimal ring extensions of certain commutative rings. Journal of Algebra 308:2, pages 800-821.
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David E. Dobbs & Jay Shapiro. (2006) A classification of the minimal ring extensions of an integral domain. Journal of Algebra 305:1, pages 185-193.
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Gabriel Picavet & Martine Picavet-L’Hermitte. 2006. Multiplicative Ideal Theory in Commutative Algebra. Multiplicative Ideal Theory in Commutative Algebra 369 386 .
David E. Dobbs. (2005) A field-theoretic invariant for domains. Rendiconti del Circolo Matematico di Palermo 54:3, pages 396-408.
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