"203907" . . . "SK - Slovensk\u00E1 republika" . "9"^^ . . "hyperstructure, identity, inverse, ordered group, quasi-ordered group"@en . "4" . . . . . "Important elements of EL-hyperstructures"@en . "[1ABA76FC07EF]" . . "Z(MSM0021630529)" . . . "Important elements of EL-hyperstructures" . . "Important elements of EL-hyperstructures" . "Journal of Applied Mathematics" . . "RIV/00216305:26220/11:PU104789!RIV14-MSM-26220___" . . "1"^^ . . "The contribution deals with hyperstructure theory. There exists a way of creating semi-hypergroups and hypergroups (or rather transposition hypergroups) from (quasi-) ordered semigroups and groups. Even though it has been widely used by some authors, properties of hyperstructures created in this way have not yet been comprehensively studied. In this contribution their identities and inverses are studied. The last section of the article includes application of the new results on some previous results. It is to be noted that results of this article may be used whenever a hyperstructure is created from a (quasi-) ordered (semi-) groups, which may be the case of differential or transformation operators, preference relations used in economics, matrix theory, etc." . "Important elements of EL-hyperstructures"@en . "1337-6365" . "The contribution deals with hyperstructure theory. There exists a way of creating semi-hypergroups and hypergroups (or rather transposition hypergroups) from (quasi-) ordered semigroups and groups. Even though it has been widely used by some authors, properties of hyperstructures created in this way have not yet been comprehensively studied. In this contribution their identities and inverses are studied. The last section of the article includes application of the new results on some previous results. It is to be noted that results of this article may be used whenever a hyperstructure is created from a (quasi-) ordered (semi-) groups, which may be the case of differential or transformation operators, preference relations used in economics, matrix theory, etc."@en . "1"^^ . . "26220" . "RIV/00216305:26220/11:PU104789" . . "Nov\u00E1k, Michal" . . "2011" . .