Comment to: "Generalized hyperideals in locally associative left almost semihypergroups"

TL;DR

This paper clarifies that simply replacing the multiplication with a hyperoperation in ${ m extbf{ extit{L}}}{ m extbf{ extit{A}}}$-groupoids does not suffice to define ${ m extbf{ extit{L}}}{ m extbf{ extit{A}}}$-hypergroupoids, correcting a previous definition.

Contribution

It provides a necessary correction to the definition of ${ m extbf{ extit{L}}}{ m extbf{ extit{A}}}$-hypergroupoids, emphasizing that additional conditions are required beyond replacing the operation.

Findings

The previous definition of ${ m extbf{ extit{L}}}{ m extbf{ extit{A}}}$-hypergroupoids is incomplete.

Replacing the multiplication with a hyperoperation is not sufficient for the structure.

A corrected and more accurate definition is proposed.

Abstract

This note is written to show that the definition of the ${\cal L}{\cal A}$-hypergroupoids in [5] should be corrected and that it is not enough to replace the multiplication "$\cdot$" of an ${\cal L}{\cal A}$-groupoid by the hyperoperation "$\circ$" to pass from an ${\cal L}{\cal A}$-groupoid to an ${\cal L}{\cal A}$-hypergroupoid.