논문KCI 등재
The Prime Avoidance Lemma Revisited
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초록
We show that the above lemma and its well-known refinement are valid, in a general setting, in non-commutative rings. Some interesting consequences are also observed.
Abstract
We show that the above lemma and its well-known refinement are valid, in a general setting, in non-commutative rings. Some interesting consequences are also observed.
참고문헌 (13)
- M. Alkan, "Projective modules and prime submodules", Czechoslovak Math. J., 56(2), pp.601~611 (2006)
- F. Callialp, "On Finite Union of Prime Submodules", Pakistan Journal of Applied Sciences, 2(11), pp.1016~1017 (2002)
- C. P. Lu, "Unions of prime submodules", Houston J. Math, 23(2), pp.203~213 (1997)
- C. Faith, "Rings and Things and a Fine Array of Twentieth Century Associative Algebra, Second Edition" (2004), American Mathematical Society
- I. Kaplansky, "Commutative Rings, Allyn and Bacon, Boston, MA, Revised Edition" (1970), The University of Chicago Press
- O. A. S. Karamzadeh, "Noetherian dimension", 박사, pp.1974
- O. A. S. Karamzadeh, "On the classical Krull dimension of rings", Fund Math, 117, pp.103~108 (1983)
- O. A. S. Karamzadeh, "On G-Type Domains", J. Algebra and its Applications, 5(2), pp.1~18 (2012)
- S. McAdam, "Finite covering by ideals, Proceeding of the Oklahoma Conference (ring theory)", pp.163~170 (1974), Marcel-Dekker, INC
- M. R. Pournaki, "A note on the countable union of prime submodules", Int. J. Math. Math. Sci., 27, pp.641~643 (2001)
- R. Y. Sharp, "Steps in Commutative Algebra" (2000), Cambridge University Press
- L. H. Rowen, "Ring Theory, Vol I" (1988), Academic Press
- R. Y. Sharp, "Baire's category theorem and prime avoidance in complete local rings", Arch. Math., 44, pp.243~248 (1985)
관련 논문AI추천
ON LEFT O-PRIME IDEALS OVER A NONCOMMUTATIVE RINGMUSTAFA ALKAN, ORTAÇ ÖNE¸S장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호An Anderson's theorem on noncommutative ringsChan Huh, Nam Kyun Kim, Yang Lee대한수학회 · 대한수학회보2008 · 제45권 제4호A note on minimal prime idealsAhmad Moussavi, Masoome Zahiri, Rasul Mohammadi대한수학회 · 대한수학회보2017 · 제54권 제4호Refinement rings, exchange property and comparabilityChaoling Huang대한수학회 · 대한수학회보2011 · 제48권 제3호More on the 2-prime ideals of commutative ringsAli Yassine, Mohammad Javad Nikmehr, Reza Nikandish대한수학회 · 대한수학회보2020 · 제57권 제1호Commutativity Criteria for a Factor Ring R/P Arising from P-CentralizersKarim Bouchannafa, Lahcen Oukhtite, My Abdallah Idrissi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제4호
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