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On Axis-commutativity of Rings

이양|서영주|곽태근
경북대학교 자연과학대학 수학과|2021.09|Kyungpook Mathematical Journal|제61권 제3호|pp. 461-472

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참고문헌

키워드

matrix ringcommutative ringdivision ringduo ringaxis-commutative ring
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초록

We study a new ring property called axis-commutativity. Axis-commutative rings are seated between commutative rings and duo rings and are a generalization of division rings. We investigate the basic structure and several extensions of axis-commutativerings.

Abstract

We study a new ring property called axis-commutativity. Axis-commutative rings are seated between commutative rings and duo rings and are a generalization of division rings. We investigate the basic structure and several extensions of axis-commutativerings.

참고문헌 (15)

  1. H. E. Bell, "Duo group rings", J. Pure Appl. Algebra, 209, pp.833~838 (2007)
  2. P. M. Cohn, "Reversible rings", Bull. London Math. Soc, 31, pp.641~648 (1999)
  3. J. L. Dorroh, "Concerning adjunctions to algebras", Bull. Amer. Math. Soc, 38, pp.85~88 (1932)
  4. E. H. Feller, "Properties of primary noncommutative rings", Trans. Amer. Math. Soc, 89, pp.79~91 (1958)
  5. K. R. Goodearl, "Von Neumann Regular Rings" (1979), Pitman
  6. C. Huh, "p.p. rings and generalized p.p. rings", J. Pure Appl. Algebra, 167, pp.37~52 (2002)
  7. N. K. Kim, "Extensions of reversible rings", J. Pure Appl. Algebra, 185, pp.207~223 (2003)
  8. T. K. Kwak, "Reflexive property of rings", Comm. Algebra, 40, pp.1576~1594 (2012)
  9. J. Lambek, "Lectures on Rings and Modules" (1966), Blaisdell Publishing Company
  10. G. Marks, "Duo rings and Ore extensions", J. Algebra, 280, pp.463~471 (2004)
  11. G. Marks, "Reversible and symmetric rings", J. Pure Appl. Algebra, 174, pp.311~318 (2002)
  12. C. P. Milies, "An Introduction to Group Rings" (2002), Kluwer Academic Publishers
  13. G. Mason, "Reflexive ideals", Comm. Algebra, 9, pp.1709~1724 (1981)
  14. L. Motais de Narbonne, "Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents", Proceedings of the 106th National Congress of Learned Societies, pp.71~73 (1981), Bib. Nat
  15. W. Xue, "Structure of minimal noncommutative duo rings and minimal strongly bounded non-duo rings", Comm. Algebra, 20, pp.2777~2788 (1992)

관련 논문AI추천

DUO RING PROPERTY RESTRICTED TO GROUPS OF UNITS이양, 박상원, 한준철대한수학회 · 대한수학회지2015 · 제52권 제3호On a Class of Semicommutative RingsAbdullah Harmanci, Nazim Agayev, Tahire Özen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제3호On properties related to reversible rings이양, 김남균, 류성주, 정다운대한수학회 · 대한수학회보2015 · 제52권 제1호Structures Related to Right Duo Factor Rings이양, Hongying Chen, Zhelin Piao경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호Nilpotent-duo property on powers김동화대한수학회 · 대한수학회논문집2018 · 제33권 제4호On commutativity of nilpotent elements at zero곽태근, Abdullah M. Abdul-Jabbar, Chenar Abdul Kareem Ahmed, Yang Lee대한수학회 · 대한수학회논문집2017 · 제32권 제4호

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