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On $\Pi$-Armendariz Rings
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Abstract
We in this note introduce a concept, so called -Armendarizring, that is a generalization of both Armendariz rings and 2-primal rings.We rst observe the basic properties of-Armendariz rings, construct-ing typical examples. We next extend the class of -Armendariz rings,through various ring extensions.
참고문헌 (11)
- D. Anderson, "Armendariz rings and Gaussian rings", 26(7), pp.2265~2272 (1998)
- Armendariz, "A note on extensions of Baer and P" (1974)
- G. F. Birkenmeier, "Regularity conditions and the simplicityof prime factor rings", 115(3), pp.213~230 (1997)
- Y. Hirano, "On annihilator ideals of a polynomial ring over a noncommutative ring", 168(1), pp.45~52 (2002)
- "Armendariz rings and semicommutative rings", 30(2), pp.751~761 (2002)
- "Armendariz rings and reduced rings", 223(2), pp.477~488 (2000)
- "On Armendariz rings", 29(3), pp.583~593 (2003)
- "On 2-primal Ore extensions", 29(5), pp.2113~2123 (2001)
- "A taxonomy of 2-primal rings", 266(2), pp.494~520 (2003)
- "Armendariz rings", 73(1), pp.14~17 (1997)
- "Prime ideals and sheaf representation of a pseudo symmetric ring" (1973)
관련 논문AI추천
Some examples of quasi-Armendariz ringsEbrahim Hashemi대한수학회 · 대한수학회보2007 · 제44권 제3호On partial-Armendariz rings남상복, 윤상조, Zhelin Piao대한수학회 · 대한수학회논문집2019 · 제34권 제3호ON ARMENDARIZ IDEALSH. Haj Seyyed Javadi, M. Khoramdel, M. Shamsaddini Fard, Sh. Ghalandarzadeh대한수학회 · 대한수학회보2010 · 제47권 제5호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호On the maximality of prime ideals in exchange ringsChan Yong Hong, Nam Kyun Kim, Tai Keun Kwak대한수학회 · 대한수학회논문집2002 · 제17권 제3호On a ring property generalizing power-Armendariz and central Armendariz rings이양, 김진아, 김홍기, 남상복, 류성주, 서연숙, 성효진, 윤상조, 이창익, 정다운, 차호준강원경기수학회 · 한국수학논문집2015 · 제23권 제3호
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