characterization and axiomatization of all semigroups whose square is group
نویسندگان
چکیده
in this paper we give a characterization for all semigroups whose square is a group. moreover, we axiomatize such semigroups and study some relations between the class of these semigroups and grouplikes,introduced by the author. also, we observe that this paper characterizes and axiomatizes a class of homogroups (semigroups containing an ideal subgroup). finally, several equivalent conditions for a semigroup $s$ with $s^2leq s$ (the square-group property) will be considered.
منابع مشابه
Characterization and axiomatization of all semigroups whose square is group
In this paper we give a characterization for all semigroups whose square is a group. Moreover, we axiomatize such semigroups and study some relations between the class of these semigroups and Grouplikes,introduced by the author. Also, we observe that this paper characterizes and axiomatizes a class of Homogroups (semigroups containing an ideal subgroup). Finally, several equivalent conditions ...
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عنوان ژورنال:
algebraic structures and their applicationsجلد ۲، شماره ۲، صفحات ۱-۸
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