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《Journal of Nanjing University(Mathematical Biquarterly)》 2018-01
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THE RELATIONSHIP BETWEEN CROSS*-REGULAR SEMIGROUPS AND DIHEDRAL GROUPS

Luo Xiaoqiang;Dpartment of Mathematical, Sichuan University of Arts and Science;  
We introduce the concept of cross*-regular semigroups which is a generalization of regular semigroups. By applying the cross*-regularity of semigroups, we show that some elements of cross*-regular semigroups belong to a dihedral group, moreover,if D_(2 n) ×D_(2 m) is generated by two elements, then both n and m are odd(n, m 2),and we prove D_(2 n)×D_(2 m)≌S, where S is a cross*-regular semigroup.
【Fund】: Supported by Major Project of Educational Commission in Sichuan Province(No.16ZA0357)
【CateGory Index】: O152.7
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