References
- Y. Ahmed, M. Aslam, T. Mahmood., A note on generalized m-derivations to weakly cancellative semirings. Indian Journal of Science and Technology. 13(22): 2214-2219 (2020). DOI: 10.17485/IJST/v13i22.682
- R. E. Atani, S. E. Atani, On subsemimodules of semimodules, Buletinul Acad. Sci. Republ. Moldova, ser. Math., Number 2 (63), 20-30 (2010).
- E. Albas, Generalized derivations on ideals of prime rings, Miskolc Mathematical Notes, Vol. 14, No 1, pp. 3-9, (2013). DOI:10.18514/MMN.2013.499
- M Alexander A., K. J. Beidar and W. S. Martindale. Rings with Generalized Identities. (1995).
- V. D. Filippis, A. Mamouni and L. Oukhtite. Weakly left cancellative semirings with derivations. São Paulo Journal of Mathematical Sciences. 14(1):351–360 (2020). DOI: 10.1007/s40863-019-00148-1
- E. Formanek, Maximal quotient rings of group rings, Pacific J. Math. 53, 109-116 (1974). https://projecteuclid.org/euclid.pjm/1102911784 doi: 10.2140/pjm.1974.53.109
- JS Golan. Semirings and Their Applications. Dordrecht. Kluwer Academic Publishers. (1999).
- K. Glazek. Guide to Literature on Semirings and their Applications in Mathematics and Information Sciences with Complete Bibliography. Dodrecht. Kluwer Acad. Publ. (2002).
- V. K. Kharchenko, Galois theory of semiprime rings, Algebra i Logika 16, 313-363 (1977); English transl. (1978), 208-258. 5. doi:10.1007/BF01669459
- Kostolányi P and Mišún F. Alternating weighted automata over commutative semirings. Theoretical Computer Science. 740:1–27 (2018). doi:10.1016/j.tcs.2018.05.003
- T.K. Lee, Generalized derivations of left faithful rings, Commun. Algebra, 27(8). 4057–4073, (1999). doi:10.1080/00927879908826682
- W. S. Martindale, Prime rings satisfying a generalized polynomial identity, J. Algebra12, 576-584 (1969) doi: 10.1016/0021-8693(69)90029-5
- J. Matczuk, Extended centroids of skew polynomial rings, Math. J. Okayama Univ. 30, 13-20 (1988).
- M. A. Ozturk Jun, Y. B. On the centroid of the prime gamma rings, Commun. Korean Math. Soc., 15, 469-479 (2000).
- J. Rosen and M. Rosen, Extended centroids of skew polynomial rings, Canad. Math. Bull. 28, 67-76 (1985). doi: 10.4153/CMB-1985-006-1
- Y. Utumi, On quotient rings. Osaka J. Math. 8, 1-18 (1956). https://projecteuclid.org/euclid.ojm/1200688807
- H. Yazarli, H. Ozturk, M. A. On the centroid of prime semirings, Turkish J. Math. 37, 577-584 (2013). doi:10.3906/mat-1105-8
- H. Yazarli, B. Davvaz, D. Yilmaz, Extended Centroid Of Hyperrings. Gulf Journal Of Mathematics. 8(1), 6-15, (2020). https://gjom.org/index.php/gjom/article/view/293