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Ideal Theory in Commutative A-semirings

Joseph Neggers|Paul J. Allen|Hee Sik Kim
경북대학교 자연과학대학 수학과|2006.06|Kyungpook Mathematical Journal|제46권 제2호|pp. 261-271

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Abstract

In this paper, we investigate and characterize the class of A-semirings. A characterization of the Thierrin radical of a proper ideal of an A-semiring is given. Moreover,when P is a Q-ideal in the semiring R, it is shown that P is primary if and only if R=P is nilpotent.

참고문헌 (12)

  1. "A fundamental theorem of homomorphisms for semirings", 21, pp.412~416 (1969)
  2. "Minimal varieties of semirings with involution", 44, pp.143~151 (2000), Algebra Univ.
  3. "A Note on regularity in matrix semirings", 44, pp.1~4 (2004)
  4. "Semirings and their applications" (1999), Kluwer Academic, Dordrecht
  5. S. A. Huq, "The semiring of quotionts of commutative semirings", 28, pp.185~188 (1973)
  6. "Notes on topological spaces V", 32, pp.426~429 (1956)
  7. "Ideal theory of semirings", 32, pp.554~559 (1956)
  8. "Ideals in semirings", 34, pp.29~31 (1958)
  9. "Quasiideals in semirings without zero", 34, pp.79~81 (1958)
  10. "On ideals in semiring", 34, pp.507~509 (1958)
  11. "On quotient semiring and extension of quotient halfring", 4, pp.17~22 (1989)
  12. "On maximal k-ideals of semirings", 119, pp.699~703 (1993)

관련 논문AI추천

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