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Communications in Algebra Volume 31, 2003 - Issue 7
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Original Articles

Clean Semiprime f-Rings with Bounded Inversion

Warren Wm. McGovern Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio, USA; Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USACorrespondence[email protected]
Pages 3295-3304 | Received 01 Mar 2002, Published online: 31 Aug 2006

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R. Mohamadian. (2023) Almost clean elements in C(X). Quaestiones Mathematicae 46:9, pages 1937-1953.
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Miraç Çetin, M. Tamer Koşan & Jan Žemlička. (2023) On rings determined by their idempotents and units. Communications in Algebra 51:7, pages 2820-2829.
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David F. Anderson & Ayman Badawi. (2022) The n-zero-divisor graph of a commutative semigroup. Communications in Algebra 50:10, pages 4155-4177.
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D. D. Anderson & Nitin Bisht. (2020) A generalization of semiclean rings. Communications in Algebra 48:5, pages 2127-2142.
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Ebrahim Ghashghaei & Warren Wm. McGovern. (2017) Fusible rings. Communications in Algebra 45:3, pages 1151-1165.
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A. Taherifar. (2015) Some generalizations and unifications of C (X), Cψ(X) AND C∞(X). Quaestiones Mathematicae 38:6, pages 793-804.
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W.D. Burgess & R. Raphael. (2013) On Embedding Rings in Clean Rings. Communications in Algebra 41:2, pages 552-564.
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Lingling Fan & Xiande Yang. (2009) Strongly Clean Property and Stable Range One of Some Rings. Communications in Algebra 37:6, pages 2021-2029.
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Dancheng Lu & Weihong Yu. (2006) On Prime Spectrums of Commutative Rings. Communications in Algebra 34:7, pages 2667-2672.
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K. Samei. (2004) Clean Elements in Commutative Reduced Rings. Communications in Algebra 32:9, pages 3479-3486.
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Articles from other publishers (32)

Ali Rezaie Aliabad, Farimah Farrokhpay & Mohammad Ali Siavoshi. (2023) ON A THEOREM OF ANDERSON AND CHUN. Rocky Mountain Journal of Mathematics 53:1.
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A. Mimouni. (2022) Note on clear rings. Afrika Matematika 33:2.
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Lu Cui, Linzhe Huang, Wenming Wu, Wei Yuan & Hanbin Zhang. (2022) On cleanness of von Neumann algebras. Journal of Mathematical Analysis and Applications 509:2, pages 125969.
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Peyman Nasehpour. (2020) Algebraic properties of expectation semirings. Afrika Matematika 31:5-6, pages 903-915.
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F. Azarpanah, F. Farokhpay & E. Ghashghaei. (2019) Annihilator-stability and unique generation in C(X). Journal of Algebra and Its Applications 18:07, pages 1950122.
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A. Mimouni. (2018) Clean-like properties in pullbacks and amalgamation rings. Acta Mathematica Hungarica 156:1, pages 91-101.
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Karim Boulabiar & Samir Smiti. (2018) Lifting components in clean abelian ℓ -groups . Mathematica Slovaca 68:2, pages 299-310.
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F. Azarpanah, O.A.S. Karamzadeh, Z. Keshtkar & A.R. Olfati. (2018) On maximal ideals of $C_c(X)$ and the uniformity of its localizations. Rocky Mountain Journal of Mathematics 48:2.
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Huanyin Chen, Nahid Ashrafi & Marjan Sheibani Abdolyousefi. (2018) Regularity and Related Rings. Mediterranean Journal of Mathematics 15:1.
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Nitin Arora & S. Kundu. (2016) Commutative feebly clean rings. Journal of Algebra and Its Applications 16:07, pages 1750128.
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Karim Boulabiar & Samir Smiti. (2015) When is $C(X)$ polynomially ideal?. Journal of Commutative Algebra 7:4.
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W.Wm. McGovern & R. Raphael. (2015) Considering semi-clean rings of continuous functions. Topology and its Applications 190, pages 99-108.
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David F. Anderson & John D. LaGrange. (2014) Abian's poset and the ordered monoid of annihilator classes in a reduced commutative ring. Journal of Algebra and Its Applications 13:08, pages 1450070.
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Nitin Arora & S. Kundu. (2014) Semiclean rings and rings of continuous functions. Journal of Commutative Algebra 6:1.
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A. Taherifar. (2014) Some new classes of topological spaces and annihilator ideals. Topology and its Applications 165, pages 84-97.
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Ayman Badawi. 2014. Commutative Algebra. Commutative Algebra 39 54 .
Papiya Bhattacharjee, Michelle L. Knox & Warren Wm. McGovern. (2013) p -embeddings. Topology and its Applications 160:13, pages 1566-1576.
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Alexander J. Diesl. (2013) Nil clean rings. Journal of Algebra 383, pages 197-211.
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Evrim Akalan & Lia Vaš. (2012) Classes of Almost Clean Rings. Algebras and Representation Theory 16:3, pages 843-857.
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ANGELINA CHIN & SIAMAK YASSEMI. (2012) CLEANNESS AND RELATED STRUCTURES IN AMALGAMATED DUPLICATION RINGS. Journal of Algebra and Its Applications 11:06, pages 1250104.
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DAVID F. ANDERSON & AYMAN BADAWI. (2012) ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT. Journal of Algebra and Its Applications 11:04, pages 1250074.
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CHUNNA LI & YIQIANG ZHOU. (2012) ON STRONGLY *-CLEAN RINGS. Journal of Algebra and Its Applications 10:06, pages 1363-1370.
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Niels Schwartz. (2011) Graph components of prime spectra. Journal of Algebra 337:1, pages 13-49.
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Lia Vaš. (2010) ⁎-Clean rings; some clean and almost clean Baer ⁎-rings and von Neumann algebras. Journal of Algebra 324:12, pages 3388-3400.
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Lu Dancheng & Wu Tongsuo. (2010) Topological characterizations of the extending property of rings. Acta Mathematica Scientia 30:4, pages 1086-1092.
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Themba Dube. (2008) Notes on Pointfree Disconnectivity with a Ring-theoretic Slant. Applied Categorical Structures 18:1, pages 55-72.
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Xiande Yang. (2008) A Survey of Strongly Clean Rings. Acta Applicandae Mathematicae 108:1, pages 157-173.
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M. L. KNOX, R. LEVY, W. WM. MCGOVERN & J. SHAPIRO. (2011) GENERALIZATIONS OF COMPLEMENTED RINGS WITH APPLICATIONS TO RINGS OF FUNCTIONS. Journal of Algebra and Its Applications 08:01, pages 17-40.
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W. D. BURGESS & R. RAPHAEL. (2011) CLEAN CLASSICAL RINGS OF QUOTIENTS OF COMMUTATIVE RINGS, WITH APPLICATIONS TO C(X). Journal of Algebra and Its Applications 07:02, pages 195-209.
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Warren Wm. McGovern, Gena Puninski & Philipp Rothmaler. (2007) When every projective module is a direct sum of finitely generated modules. Journal of Algebra 315:1, pages 454-481.
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K. VARADARAJAN. (2011) CLEAN, ALMOST CLEAN, POTENT COMMUTATIVE RINGS. Journal of Algebra and Its Applications 06:04, pages 671-685.
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Myung-Sook Ahn & D.D. Anderson. (2006) Weakly Clean Rings and Almost Clean Rings. Rocky Mountain Journal of Mathematics 36:3.
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