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Communications in Algebra Volume 43, 2015 - Issue 1: Special Issue Dedicated to Marco Fontana
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Original Articles

Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal

M. Chhiti Department of Mathematics, FST, University S. M. Ben Abdellah, Fez, Morocco
,
M. Jarrar Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
,
S. Kabbaj Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi ArabiaCorrespondence[email protected]
&
N. Mahdou Department of Mathematics, FST, University S. M. Ben Abdellah, Fez, Morocco
Pages 249-261 | Received 31 Oct 2012, Published online: 01 Aug 2014

Citations (19)

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Read on this site (6)

Mohamed Chhiti & Salah Eddine Mahdou. (2024) When every regular ideal is S-finite. Quaestiones Mathematicae 47:3, pages 655-666.
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Najib Mahdou, Sanae Moussaoui & Siamak Yassemi. (2021) The divided, going-down, and Gaussian properties of amalgamation of rings. Communications in Algebra 49:5, pages 1938-1949.
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Yusof Azimi, Parviz Sahandi & Nematollah Shirmohammadi. (2019) Prüfer conditions in amalgamated algebras. Communications in Algebra 47:5, pages 2251-2261.
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M. Jarrar & S. Kabbaj. (2018) Prüfer conditions in the Nagata ring and the Serre’s conjecture ring. Communications in Algebra 46:5, pages 2073-2082.
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Marco D'Anna, Carmelo A. Finocchiaro & Marco Fontana. (2016) New Algebraic Properties of an Amalgamated Algebra Along an Ideal. Communications in Algebra 44:5, pages 1836-1851.
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Najib Mahdou & Moutu Abdou Salam Moutui. (2015) Amalgamated algebras along an ideal defined by Gaussian condition. Journal of Taibah University for Science 9:3, pages 373-379.
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Articles from other publishers (13)

Maryam Salimi, Elham Tavasoli & Siamak Yassemi. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 383 404 .
Moussa Thiaw. 2023. Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization. Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization 326 331 .
Khalid ADARBEH & Mohammad ADARBEH. (2022) Bi-amalgamations subject to the clean and nil-clean properties. Hacettepe Journal of Mathematics and Statistics 51:2, pages 494-500.
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Tiberiu Dumitrescu, Najib Mahdou & Youssef Zahir. (2020) Radical factorization for trivial extensions and amalgamated duplication rings. Journal of Algebra and Its Applications 20:02, pages 2150025.
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Najib Mahdou & Moutu Abdou Salam Moutui. (2019) Prüfer property in amalgamated algebras along an ideal. Ricerche di Matematica 69:1, pages 111-120.
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Moutu Abdou Salam Moutui. (2019) WEAKLY PRIME IDEALS ISSUED FROM AMALGAMATED ALGEBRA. Hacettepe Journal of Mathematics and Statistics, pages 1-9.
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Carmelo Antonio Finocchiaro. (2018) A construction of Prüfer rings involving quotients of Rees algebras. Journal of Algebra and Its Applications 17:06, pages 1850098.
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E. M. Bouba, N. Mahdou & M. Tamekkante. (2017) Duplication of a module along an ideal. Acta Mathematica Hungarica 154:1, pages 29-42.
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Mounir El Ouarrachi & Najib Mahdou. 2018. Homological and Combinatorial Methods in Algebra. Homological and Combinatorial Methods in Algebra 127 138 .
Mohammed Tamekkante & El Mehdi Bouba. (2016) Note on the Weak Global Dimension of Coherent Bi-amalgamations. Vietnam Journal of Mathematics 45:4, pages 639-649.
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S. Kabbaj, K. Louartiti & M. Tamekkante. (2017) Bi-amalgamated algebras along ideals. Journal of Commutative Algebra 9:1.
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S. Kabbaj, N. Mahdou & M. A. S. Moutui. (2017) Bi-amalgamations subject to the arithmetical property. Journal of Algebra and Its Applications 16:02, pages 1750030.
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F. Cheniour & N. Mahdou. (2015) On some flatness properties over commutative rings. Acta Mathematica Hungarica 146:1, pages 142-152.
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