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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series

Liu Zhongkui Department of Mathematics, Northwest Normal University, Lanzhou, China; Department of Mathematics, Northwest Normal University, Lanzhou, 730070, ChinaCorrespondence[email protected]
Pages 3305-3314 | Received 01 Jul 2002, Published online: 01 Feb 2007

Citations (11)

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Read on this site (2)

Craig Miller. (2023) Ascending chain conditions on right ideals of semigroups. Communications in Algebra 51:7, pages 2995-3014.
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Gyu Whan Chang & Dong Yeol Oh. (2020) Divisibility properties of twisted semigroup rings. Communications in Algebra 48:3, pages 1191-1200.
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Articles from other publishers (9)

M.H. Park & D.Y. Oh. (2023) Krull property of generalized power series rings. Journal of Pure and Applied Algebra 227:2, pages 107179.
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Аскар Аканович Туганбаев & Askar Akanovich Tuganbaev. (2020) Кольца рядов Лорана, лорановские кольца и кольца Мальцева - НейманаRings of Laurent series, Laurent rings, and Malcev-Neumann rings. Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры» Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory" 184, pages 3-111.
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Ryszard Mazurek. (2020) Archimedean domains of skew generalized power series. Forum Mathematicum 32:4, pages 1075-1093.
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Jung Wook Lim & Dong Yeol Oh. (2019) The ascending chain condition on principal ideals in composite generalized power series rings. Rocky Mountain Journal of Mathematics 49:4.
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Nik Stopar. (2012) Ascending chain conditions on principal left and right ideals for semidirect products of semigroups. Semigroup Forum 85:2, pages 322-336.
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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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Gary Brookfield & David E. Rush. (2008) Convex Polytopes and Factorization Properties in Generalized Power Series Domains. Rocky Mountain Journal of Mathematics 38:6.
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Диар Аскарович Туганбаев & Diar Askarovich Tuganbaev. (2008) Мальцевские кольцаMalcev rings. Дискретная математика Diskretnaya Matematika 20:2, pages 63-81.
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D. A. Tuganbaev. (2008) Malcev rings. Discrete Mathematics and Applications 18:2.
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