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)
- L. Ali, "On differential identities of Jordan ideals of semirings", AIMS Math, 6(7), pp.6833~6844 (2021)[DOI]
- L. Ali, "Some differential identities of MA-semirings with involution", AIMS Math, 6(3), pp.2304~2314 (2021)[DOI]
- R. Awtar, "Lie and Jordan structure in prime rings with derivations", Proc. Amer. Math. Soc, 41, pp.67~74 (1973)[DOI]
- H. -J. Bandelt, "Subdirect products of rings and distributive lattices", Proc. Edinburgh Math. Soc, 25(2), pp.155~171 (1982)[DOI]
- J. Bergen, "Lie ideals and derivations of prime rings", J. Algebra, 71(1), pp.259~267 (1981)[DOI]
- 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]
- 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)
- S. Ebrahimi Atani, "Some remarks on partitioning semirings", An. S¸tiint¸. Univ. "Ovidius"Constant¸a Ser. Mat, 18(1), pp.49~61 (2010)
- H. El Mir, "Commutativity with algebraic identities involving prime ideals", Commun. Korean Math. Soc, 35(3), pp.723~731 (2020)[DOI]
- K. G lazek, "A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences" (2002), Kluwer Acad. Publ
- U. Hebisch, "Semirings: Algebraic Theory and Applications in Computer Science" (1998), World Sci. Publishing, Inc
- K. Is´eki, "Quasi-ideals in semirings without zero", Proc. Japan Acad, 34(2), pp.79~81 (1958)
- M. A. Javed, "On condition(A2)of Bandlet and Petrich for inverse semirings", Int. Math. Forum, 7(59), pp.2903~2914 (2012)
- D. A. Jordan, "On the ideals of a Lie algebra of derivations", J. London Math. Soc, (2)33(1), pp.33~39 (1986)[DOI]
- V. N. Kolokoltsov, "Idempotent Analysis and its Applications" (1997), Springer
- P. Kostol´anyi, "Alternating weighted automata over commutative semirings", Theor. Comput. Sci, 740, pp.01~27 (2018)[DOI]
- T. Mahmood, "On commutativity of quotient semirings through generalized derivations", AIMS Math, 8(11), pp.25729~25739 (2023)[DOI]
- V. P. Maslov, "Idempotent Analysis", Adv. Soviet Math, 13 (1992), Amer. Math. Soc[DOI]
- E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)[DOI]
- S. Sara, "On centralizer of semiprime inverse semiring", Discuss. Math. Gen. Algebra Appl, 36(1), pp.71~84 (2016)[DOI]
- M. K. Sen, "On k-ideals of semirings", Internat. J. Math. Math. Sci, 15(2), pp.347~350 (1992)[DOI]
- S. Shafiq, "A study of MA-semirings", PhD, pp.2019
관련 논문AI추천
On semiderivations in $3$-prime near-ringsAbdelkarim Boua, Mohammad Ashraf대한수학회 · 대한수학회논문집2016 · 제31권 제3호Identities in a Prime Ideal of a Ring Involving Generalized DerivationsAbdelkarim Boua, Hafedh Mohsen Ali Alnoghashi, Nadeem Ur Rehman경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호ON THE COMMUTATIVITY OF PRIME RINGS USING SOME DIFFERENTIAL IDENTITIESB. Al-Hasanat, J. J. Jaraden, L. Oukhtite장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호Study of quotient near-rings with additive mapsAbdelilah Zerbane, Abdelkarim Boua, Abderrahmane Raji대한수학회 · 대한수학회논문집2024 · 제39권 제2호On commuting like elements in prime ringsJihad Benzaid, Lahcen Oukhtite, Omar Ait Zemzami대한수학회 · 대한수학회논문집2025 · 제40권 제2호1-(2-) Prime Ideals in SemiringsPandarinathan Nandakumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호
이 간행물의 다른 논문 (17건)
The Chow ring of a sequence of point blow-upsDaniel Camazon Portelapp. 563-574(m, n)-CLOSED δ-PRIMARY IDEALS IN AMALGAMATIONMohammad Hamoda, Mohammed Issoualpp. 575-583ON η−GENERALIZED DERIVATIONS IN RINGS WITH JORDAN INVOLUTIONPhool Miyanpp. 585-593On nonnil-$m$-formally Noetherian ringsAbdelamir Dabbabi, Ahmed Maatallahpp. 611-622ON ϕ-(n, d) RINGS AND ϕ-n-COHERENT RINGSYounes El Haddaoui, 김환구, Najib Mahdoupp. 623-642
