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Right derivations on ordered semigroups | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 2، اسفند 2019، صفحه 104-111 اصل مقاله (66.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2617 | ||
| نویسنده | ||
| M. Murali Krishna Rao* | ||
| Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045,A.P., India. | ||
| چکیده | ||
| Over the last few decades, several authors have investigated the relationship between the commutativity of ring R and the existence of certain specified derivations of R. In this paper, we introduce the concept of right derivation on semigroups and we study some of the properties of right derivation of semigroups. We prove that if d be a non-zero right derivation of a cancellative ordered semigroup M, then M is a commutative ordered semigroup. | ||
| کلیدواژهها | ||
| Ordered Semigroup؛ Right Derivation؛ Derivation؛ Negatively Ordered | ||
| مراجع | ||
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[1] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8(1957), 1093-1100. [2] K. H. Kim, On right derivation of incline algebras, Journla of Chung cheng Mathematical society, 26(4) (2013), 683-690. [3] K. H. Kim, On genralized right derivation of incline algebras, Gulf journal fo Mathematics, 3(1)(2015), 36-46. [4] K. H. Kim, On genralized right derivation of incline, journal fo Mathematics, 6(2016), 31-47. [5] M. Bresar and Vukman, On left derivations and related mappings, Proc. Amer.Math. Soc., 110(1)(1990), 7-16. [6] M. Murali Krishna Rao, Γ−semirings-I, Southeast Asian Bull. Math. 19 (1)(1995), 49-54. [7] M. Murali Krishna Rao and B. Venkateswarlu, Regular Γ−incline and field Γ−semiring, Novi Sad J. of Math., 45(2)(2015), 155-171. [8] M. Murali Krishna Rao and B. Venkateswarlu, On generalized right derivations of Γ− incline, Journal Of The International Mathematical Virtual Institute, 6(2016), 31-47. [9] M. Murali Krishna Rao and B. Venkateswarlu, Right derivation of ordered Γ−semiring, Discussiones Mathematicae, General Algebra And Applications, 36(2)(2016), 209-221. [10] M. Murali Krishna Rao, bi-interior Ideals in semigroups, Discussiones Mathematicae General Algebra and Applications, 38(2018), 69-78. doi:10.7151/dmgaa.1284. [11] M. Murali Krishna Rao, bi-interior Ideals in Γ-semirings, Discussiones Mathematicae General Algebra and Applications,38(2)(2018), 239-254.doi:10.7151/dmgaa.1284. [12] Marapureddy Murali Krishna Rao, A study of bi-quasi-interior ideal as a new generalization of ideal of generalization of semiring, Bull. Int. Math. Virtual Inst,8(2018), 519-535. [13] M. Murali Krishna Rao, A study of quasi-interior ideal of semiring, Bull. Int. Math. Virtual Inst, 2(2019), 287-300. [14] M. Murali Krishna Rao, A study of generalization of bi- ideal, quasi- ideal and interior ideal of semigroup, Mathematica Morovica, 22(2)(2018), 103-115. | ||
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