mwang_pay (06/28/82)
DEPARTMENT OF COMPUTER SCIENCE
UNIVERSITY OF WATERLOO
SEMINAR ACTIVITIES
THEORY SEMINAR - Monday, July 5, 1982.
Prof. I. Simon of University of Sao Paulo, Brazil,
will speak on "Finiteness Conditions for Semigroups."
TIME: 3:30 PM
ROOM: M&C 5158
ABSTRACT
Some sufficient conditions for the finiteness of
semigroups will be surveyed. Two samples:
_T_h_e_o_r_e_m _1 (_H_o_t_z_e_l): _L_e_t _S _b_e _a _s_e_m_i_g_r_o_u_p _s_u_c_h _t_h_a_t
(_i) _S _i_s _f_i_n_i_t_e_l_y _g_e_n_e_r_a_t_e_d
(_i_i) _S _h_a_s _n_o _i_n_f_i_n_i_t_e _g_r_o_u_p_s
(_i_i_i) _S _h_a_s _n_o _i_n_f_i_n_i_t_e _p_r_o_p_e_r_l_y _d_e_s_c_e_n_d_i_n_g _c_h_a_i_n_s _o_f
_p_r_i_n_c_i_p_a_l _r_i_g_h_t _i_d_e_a_l_s.
_T_h_e_n _S _i_s _f_i_n_i_t_e.
_T_h_e_o_r_e_m _2: _A _f_i_n_i_t_e_l_y _g_e_n_e_r_a_t_e_d _s_e_m_i_g_r_o_u_p _i_s _f_i_n_i_t_e
_i_f _a_n_d _o_n_l_y _i_f _i_t _i_s _s_t_r_o_n_g_l_y _p_e_r_i_o_d_i_c.
June 28, 1982