본문 바로가기
KERD
논문KCI 등재

On differential identities involving partitioning ideals of semirings

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this article, we study a certain class of partitioning ideals known as $Q$-ideals, in semirings. Main objective is to investigate differential identities linking a semiring $S$ to its prime $Q$-ideal $I_Q$, which ensure the commutativity and other features of $S/I_Q$.

Abstract

In this article, we study a certain class of partitioning ideals known as $Q$-ideals, in semirings. Main objective is to investigate differential identities linking a semiring $S$ to its prime $Q$-ideal $I_Q$, which ensure the commutativity and other features of $S/I_Q$.

참고문헌 (22)

  1. L. Ali, "On differential identities of Jordan ideals of semirings", AIMS Math, 6(7), pp.6833~6844 (2021)[DOI]
  2. L. Ali, "Some differential identities of MA-semirings with involution", AIMS Math, 6(3), pp.2304~2314 (2021)[DOI]
  3. R. Awtar, "Lie and Jordan structure in prime rings with derivations", Proc. Amer. Math. Soc, 41, pp.67~74 (1973)[DOI]
  4. H. -J. Bandelt, "Subdirect products of rings and distributive lattices", Proc. Edinburgh Math. Soc, 25(2), pp.155~171 (1982)[DOI]
  5. J. Bergen, "Lie ideals and derivations of prime rings", J. Algebra, 71(1), pp.259~267 (1981)[DOI]
  6. M. Breˇsar, "On the distance of the composition of two derivations to the generalized derivations", Glasgow Math. J, 33(1), pp.89~93 (1991)[DOI]
  7. S. Ebrahimi Atani, "The zero-divisor graph with respect to ideals of a commutative semiring", Glas. Mat. Ser. III, 43(2), pp.309~320 (2008)
  8. S. Ebrahimi Atani, "Some remarks on partitioning semirings", An. S¸tiint¸. Univ. "Ovidius"Constant¸a Ser. Mat, 18(1), pp.49~61 (2010)
  9. H. El Mir, "Commutativity with algebraic identities involving prime ideals", Commun. Korean Math. Soc, 35(3), pp.723~731 (2020)[DOI]
  10. K. G lazek, "A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences" (2002), Kluwer Acad. Publ
  11. U. Hebisch, "Semirings: Algebraic Theory and Applications in Computer Science" (1998), World Sci. Publishing, Inc
  12. K. Is´eki, "Quasi-ideals in semirings without zero", Proc. Japan Acad, 34(2), pp.79~81 (1958)
  13. M. A. Javed, "On condition(A2)of Bandlet and Petrich for inverse semirings", Int. Math. Forum, 7(59), pp.2903~2914 (2012)
  14. D. A. Jordan, "On the ideals of a Lie algebra of derivations", J. London Math. Soc, (2)33(1), pp.33~39 (1986)[DOI]
  15. V. N. Kolokoltsov, "Idempotent Analysis and its Applications" (1997), Springer
  16. P. Kostol´anyi, "Alternating weighted automata over commutative semirings", Theor. Comput. Sci, 740, pp.01~27 (2018)[DOI]
  17. T. Mahmood, "On commutativity of quotient semirings through generalized derivations", AIMS Math, 8(11), pp.25729~25739 (2023)[DOI]
  18. V. P. Maslov, "Idempotent Analysis", Adv. Soviet Math, 13 (1992), Amer. Math. Soc[DOI]
  19. E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)[DOI]
  20. S. Sara, "On centralizer of semiprime inverse semiring", Discuss. Math. Gen. Algebra Appl, 36(1), pp.71~84 (2016)[DOI]
  21. M. K. Sen, "On k-ideals of semirings", Internat. J. Math. Math. Sci, 15(2), pp.347~350 (1992)[DOI]
  22. S. Shafiq, "A study of MA-semirings", PhD, pp.2019

관련 논문AI추천

이 간행물의 다른 논문 (17건)