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Differential conditions for which near-rings are commutative rings

  • Boua Abdelkarim , Chillali Abdelhakim and Zeriouh Mostafa
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Algebra and Its Applications
This chapter is in the book Algebra and Its Applications

Abstract

In the present paper, we study the commutativity of near-rings satisfying certain algebraic identities involving two sided α-n-derivations on semigroup ideals

Abstract

In the present paper, we study the commutativity of near-rings satisfying certain algebraic identities involving two sided α-n-derivations on semigroup ideals

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Contents VII
  4. On structure of ∗-prime rings with generalized derivation 1
  5. A characterization of additive mappings in rings with involution 11
  6. Skew constacyclic codes over Fq + vFq + v2Fq 25
  7. Generalized total graphs of commutative rings: a survey 37
  8. Differential conditions for which near-rings are commutative rings 55
  9. Generalized skew derivations satisfying the second posner’s theorem on lie ideals 65
  10. Generalized skew-derivations on lie ideals in prime rings 81
  11. On generalized derivations and commutativity of prime rings with involution 91
  12. On (n, d)-krull property in amalgamated algebra 101
  13. Pure ideals in ordered Γ-semigroups 111
  14. Projective ideals of differential polynomial rings over hnp rings 121
  15. Additive central m-power skew-commuting maps on semiprime rings 135
  16. A note on cess-lattices 151
  17. Properties inherited by direct sums of copies of a module 163
  18. Modules witnessing that a leavitt path algebra is directly infinite 181
  19. Inductive groupoids and normal categories of regular semigroups 193
  20. Actions of generalized derivations in rings and banach algebras 201
  21. Proper categories and their duals 215
  22. On nakayama conjecture and related conjectures-review 227
  23. On construction of global actions for partial actions 243
  24. On 2-absorbing and weakly 2-absorbing ideals in product lattices 253
  25. Separability in algebra and category theory 265
  26. Annihilators of power values of generalized skew derivations on lie ideals 307
  27. Generalized derivations on prime rings with involution 317
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