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On the paper "Generalized hyperideals in locally associative left almost semihypergroups".

Authors :
KEHAYOPULU, Niovi
Source :
Turkish Journal of Mathematics. 2022, Vol. 46 Issue 3, p1113-1118. 6p.
Publication Year :
2022

Abstract

This note is written to show that the definition of the LA-semihypergroup by V. Amjad, K. Hila and F. Yousafzai "Generalized hyperideals in locally associative left almost semihypergroups, New York J. Math. 2014" should be corrected and that it is not enough to replace the multiplication "·" of an LA-semigroup by the hyperoperation "ο" to pass from an LA-semigroup to an LA-semihypergroup. The two examples of the paper based on the definition of the LA-semihypergroup are wrong that is a further indication that this definition needs correction. According to the last section of the paper, the paper generalizes the results of an LA-semigroup by M. Akram, N. Yaqoob and M. Khan "On (m, n) -ideals of left almost semigroups, Appl. Math. Sci. (Ruse) 2013" while the paper duplicates, without citation, the section 4 of the paper by W. Khan, F. Yousafzai, W. Guo and M. Khan "On (m, n) -ideals of left almost semigroups, J. Semigroup Theory Appl. 2014" with the usual change of "·" to "ο". [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13000098
Volume :
46
Issue :
3
Database :
Academic Search Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
155827544
Full Text :
https://doi.org/10.55730/1300-0098.3146