PROPERTIES OF ARMENDARIZ RINGS AND WEAK ARMENDARIZ RINGS
Dušan Jokanović (2009)
Publications de l'Institut Mathématique
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Dušan Jokanović (2009)
Publications de l'Institut Mathématique
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Le Duc Thoang, Le Van Thuyet (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Vedadi, M.R. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Abujabal, Hamza A.S. (1996)
Georgian Mathematical Journal
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Huanyin Chen, Miaosen Chen (2005)
Czechoslovak Mathematical Journal
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It is shown that a ring is a -ring if and only if there exists a complete orthogonal set of idempotents such that all are -rings. We also investigate -rings for Morita contexts, module extensions and power series rings.
Rudeanu, S. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Nasr-Isfahani, A.R., Moussavi, A. (2007)
International Journal of Mathematics and Mathematical Sciences
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Guo, Xiaojiang, Shum, K.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Abujabal, H.A.S., Khan, M.A. (1998)
Georgian Mathematical Journal
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Kwak, Tai Keun (2006)
International Journal of Mathematics and Mathematical Sciences
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Chahrazade Bakkari, Mohamed Es-Saidi, Najib Mahdou, Moutu Abdou Salam Moutui (2022)
Czechoslovak Mathematical Journal
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This paper aims at the study of the notions of periodic, UU and semiclean properties in various context of commutative rings such as trivial ring extensions, amalgamations and pullbacks. The results obtained provide new original classes of rings subject to various ring theoretic properties.