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Communications in Algebra Volume 30, 2002 - Issue 6
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Original Articles

A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS

Daniel Frohn Institut für Mathematik, Universität Hannover, Hannover, Welfengartenl, D-30167, Germany
Pages 2961-2966 | Received 01 Jan 2001, Published online: 01 Sep 2006

Citations (15)

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Read on this site (3)

D. D. Anderson, J. R. Juett & C. P. Mooney. (2019) Factorization of ideals. Communications in Algebra 47:4, pages 1742-1772.
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Liu Zhongkui. (2004) The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series. Communications in Algebra 32:9, pages 3305-3314.
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Daniel Frohn. (2004) ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes. Communications in Algebra 32:3, pages 1213-1218.
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Articles from other publishers (12)

H. E. Bruch, J. R. Juett & Christopher Park Mooney. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 135 153 .
Hamed Mousavi, Farzad Padashnik & Ayesha Asloob Qureshi. (2020) On reduced archimedean skew power series rings. Journal of Algebra and Its Applications 21:03.
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Armando Reyes & Yésica Suárez. (2018) On the ACCP in skew Poincaré–Birkhoff–Witt extensions. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59:4, pages 625-643.
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Kamal Paykan & Ahmad Moussavi. (2017) Study of skew inverse Laurent series rings. Journal of Algebra and Its Applications 16:12, pages 1750221.
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Kamal Paykan. (2016) A study on skew Hurwitz series rings. Ricerche di Matematica 66:2, pages 383-393.
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K. Paykan & A. Moussavi. (2016) Special properties of differential inverse power series rings. Journal of Algebra and Its Applications 15:10, pages 1650181.
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Pace P. Nielsen. (2016) The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums. Israel Journal of Mathematics 215:1, pages 339-347.
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A. R. Nasr-Isfahani. (2014) THE ASCENDING CHAIN CONDITION FOR PRINCIPAL LEFT IDEALS OF SKEW POLYNOMIAL RINGS. Taiwanese Journal of Mathematics 18:3.
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Patrick F. Smith. 2010. Ring and Module Theory. Ring and Module Theory 149 164 .
Ryszard Mazurek & Michał Ziembowski. (2009) The ascending chain condition for principal left or right ideals of skew generalized power series rings. Journal of Algebra 322:4, pages 983-994.
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Esperanza Sanchez Campos & Patrick F. Smith. 2008. Modules and Comodules. Modules and Comodules 125 141 .
Daniel Frohn. (2002) Modules with n-acc and the acc on certain types of annihilators. Journal of Algebra 256:2, pages 467-483.
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