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A note on lower radicals of hemirings

Muhammad Zulfiqar
대한수학회 (The Korean Mathematical Society)|2008.11|대한수학회보 (Bulletin of the KMS)|제45권 제4호|pp. 757-762

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참고문헌

키워드

hereditary classhemiringradical classesuniversal classsemisimple classhomomorphically closedp-semi-idealk-ideallower radical
주제분류수학

초록

In this paper, we generalize a few results of [7, 10] for lower radical classes of rings, by using the limit ordinal construction for lower radical classes of hemirings.

Abstract

In this paper, we generalize a few results of [7, 10] for lower radical classes of rings, by using the limit ordinal construction for lower radical classes of hemirings.

참고문헌 (13)

  1. J. S. Golan, "The theory of semirings with applications in mathematics and theoretical computer science, Pitman Monographs and Surveys in Pure and Applied Mathematics, 54" (1992), Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc.
  2. U. Hebisch, "Semirings: algebraic theory and applications in computer science, Translated from the 1993 German original. Series in Algebra, 5" (1998), World Scientific Publishing Co., Inc.
  3. A. E. Hoffman, "Properties inherited by the lower radical", Portugal Mathematics, 27, pp.63~66 (1968)
  4. D. R. LaTorre, "On h-ideals and k-ideals in hemirings", Publicationes Mathematicae Debrecen, 12, pp.219~226 (1965)
  5. Y. L. Lee, "On the construction of upper radical properties", Proceedings of the American Mathematical Society, 19, pp.1165~1166 (1968)
  6. Y. L. Lee, "On the construction of lower radical properties", Pacific Journal of Mathematics, 28, pp.393~395 (1969)
  7. Y. L. Lee, "On intersections and unions of radical classes", Journal of the Australian Mathematical Society Series A, 13, pp.354~356 (1972)
  8. D. M. Olson, "Radical theory for hemirings", Journal of Natural Sciences and Mathematics, 23(1), pp.23~32 (1983)
  9. H. J. le Roux, "A note on the lower radical", Publicationes Mathematicae Debrecen, 28(1), pp.11~13 (1981)
  10. F. A. Sz´asz, "Radicals of Rings" (1981), Mathematical Institute Hungarian Academy of Sciences
  11. Radical and Semisimple Classes of Rings, "R. Wiegandt", Queen’s University, ~, pp.Queen’s Papers in Pure and Applied Mathematics, No. 37 (1974)
  12. . M. Yusuf, "Radical classes and semisimple classes for hemirings", STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 23(1), pp.231~235 (1988)
  13. Muhammad Zulfiqar, "The Sum of Two Radical Classes of Hemirings", Kyungpook Mathematical Journal, 43(3), pp.371~374 (2003), 경북대학교 자연과학대학 수학과

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Notes on Chain Rings and RadicalsDagva Dayantsolmon, Sodnomkhorloo Tumurbat, Tumenbayar Khulan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호The Sum of Two Radical Classes of HemiringsMuhammad Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호A Note on the Extended Sum of Radical Classes of RingsM. Aslam, M. Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호Ring structures concerning factorization modulo radicals이양, 김홍기, Hai Lan Jin대한수학회 · 대한수학회보2017 · 제54권 제4호Abelian property concerning factorization modulo radicals이양, 김동현, 김재민, 김재의, 김태형, 노진환, 류성주, 이유선, 이지영, 채동현, 최정민강원경기수학회 · 한국수학논문집2016 · 제24권 제4호On a ring property related to nilradicals윤상조, Hai Lan Jin, Zhelin Piao강원경기수학회 · 한국수학논문집2019 · 제27권 제1호

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