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Ars Combinatoria

  • Research article

On \((\alpha, \beta)\)-generalized derivations on lattices

Abdul Rauf Khan1, Muhammad Anwar Chaudhry1, Imran Javaid1
1Center for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan.
  • Published: 31/07/2012

Abstract

In this paper, we introduce the notion of \((\alpha, \beta)\)-generalized \(d\)-derivations on lattices and investigate some related properties. Also, using the notion of permuting \((\alpha, \beta)\)-triderivation, we characterize the distributive elements of a lattice.

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Citation
Abdul Rauf Khan, Muhammad Anwar Chaudhry, Imran Javaid. On \((\alpha, \beta)\)-generalized derivations on lattices[J], Ars Combinatoria, Volume 105. 525-533. .