First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C S and on a completely regular semigroup and is partial order. It is also obtained that a band (S,.) isnormaliffC = N. It is also observed that on a completely regular semigroup (S,),.C = S = N iff (S,.) islocally inverse semigroup and the restriction of C to E(S) is the usual partial order on E (S). Finally it is obtained that, if (S,.) isanormalband of groups then C = S = N.
Author(s) Details:
K. V. R. Srinivas,
Giet
Engineering College, Rajahmundry, India.
Y.
L. Anasuya,
Andhra
University, India.
Please see the link here: https://stm.bookpi.org/CSR/article/view/11643
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