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Algebra Letters ISSN 2051-5502

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Algebra Lett. 2017 (2017), Article ID 4

A new derivation of UP-algebras by means of UP-endomorphisms

Theerawat Tippanya, Nawaphat Iam-Art, Ponpot Moonfong, Aiyared Iampan

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Abstract

The notions of left (resp. right)-f-derivations of type I and of left (resp. right)-f-derivations of type II of UP-algebras are introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the kernel of right-f-derivations of type I and of right-f-derivations of type II of UP-algebras is a UP-subalgebra, and also give examples to show that the the kernel of left (resp. right)-f-derivations of type I and of left (resp. right)-f-derivations of type II of UP-algebras is not a UP-ideal, the fixed set of right-f-derivations of type I and of left (resp. right)-f-derivations of type II of UP-algebras is not a UP-subalgebra, and the fixed set of left-f-derivations of type I of UP-algebras is not a UP-ideal in general.

Published
7 April 2017
Volume
2017 (2017)
License
CC BY 3.0

Copyright © 2017 Theerawat Tippanya, Nawaphat Iam-Art, Ponpot Moonfong, Aiyared Iampan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

T. Tippanya, N. Iam-Art, P. Moonfong, A. Iampan, A new derivation of UP-algebras by means of UP-endomorphisms, Algebra Lett. 2017 (2017), 4.

BibTeX
@article{Tippanya2017,
  author  = {Tippanya, Theerawat and Iam-Art, Nawaphat and Moonfong, Ponpot and Iampan, Aiyared},
  title   = {A new derivation of UP-algebras by means of UP-endomorphisms},
  journal = {Algebra Lett.},
  volume  = {2017},
  year    = {2017},
  pages   = {4},
  doi     = {}
}