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Minimal noncommutative reversible and reflexive rings

이양|김병옥
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회보 (Bulletin of the KMS)|제48권 제3호|pp. 611-616

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참고문헌

키워드

minimal noncommutative reversible ringminimal noncommutative reflexive ring
주제분류수학

초록

The reflexiveness and reversibility were introduced by Mason and Cohn respectively. The structures of minimal reversible rings and minimal reflexive rings are completely determined. The term minimal means having smallest cardinality.

Abstract

The reflexiveness and reversibility were introduced by Mason and Cohn respectively. The structures of minimal reversible rings and minimal reflexive rings are completely determined. The term minimal means having smallest cardinality.

참고문헌 (14)

  1. D. D. Anderson, "Semigroups and rings whose zero products commute", Comm. Algebra, 27(6), pp.2847~2852 (1999)
  2. P. M. Cohn, "Reversible rings", Bull. London Math. Soc, 31(6), pp.641~648 (1999)
  3. K. E. Eldridge, "Orders for finite noncommutative rings with unity", Amer. Math. Monthly, 73, pp.376~377 (1966)
  4. E. H. Feller, "Properties of primary noncommutative rings", Trans. Amer. Math. Soc, 89, pp.79~91 (1958)
  5. "Basic examples and extensions of symmetric rings", JOURNAL OF PURE AND APPLIED ALGEBRA, 202(1), pp.154~167 (2005), ELSEVIER SCIENCE BV
  6. N. K. Kim, "Extensions of reversible rings", J. Pure Appl. Algebra, 185(1), pp.207~223 (2003)
  7. R. Kruse, "Nilpotent Rings" (1969), Gordon and Breach
  8. T. K. Kwak, "Reflexive property of rings"
  9. T. Y. Lam, "Lectures on Modules and Rings" (1999), Springer-Verlag
  10. J. Lambek, "Lectures on Rings and Modules" (1966), Blaisdell Publishing Company
  11. G. Marks, "Reversible and symmetric rings", J. Pure Appl. Algebra, 174(3), pp.311~318 (2002)
  12. G. Mason, "Reflexive ideals", Comm. Algebra, 9(17), pp.1709~1724 (1981)
  13. W. Xue, "On strongly right bounded finite rings", Bull. Austral. Math. Soc, 44(3), pp.353~355 (1991)
  14. W. Xue, "Structure of minimal noncommutative duo rings and minimal strongly bounded nonduo rings", Comm. Algebra, 20(9), pp.2777~2788 (1992)

관련 논문AI추천

Reflexive property on idempotents이양, 곽태근대한수학회 · 대한수학회보2013 · 제50권 제6호Reflexive property skewed by ring endomorphisms이양, 곽태근, 윤상조강원경기수학회 · 한국수학논문집2014 · 제22권 제2호On properties related to reversible rings이양, 김남균, 류성주, 정다운대한수학회 · 대한수학회보2015 · 제52권 제1호Rings with reflexive ideals박상원, 한준철영남수학회 · East Asian Mathematical Journal2018 · 제34권 제3호Reversibility over prime radicals이양, 성효진, 정다운강원경기수학회 · 한국수학논문집2014 · 제22권 제2호On strong reversible rings and their extensions곽태근, Muhittin Baser강원경기수학회 · 한국수학논문집2010 · 제18권 제2호

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