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- W2003971350 abstract "Here, some classes of regular order semigroups are discussed. We shall consider that the problems of the existences of (multiplicative) inverse <TEX>$^{delta}po$</TEX>-transversals for such classes of po-semigroups and obtain the following main results: (1) Giving the equivalent conditions of the existence of inverse <TEX>$^{delta}po$</TEX>-transversals for regular order semigroups (2) showing the order orthodox semigroups with biggest inverses have necessarily a weakly multiplicative inverse <TEX>$^{delta}po$</TEX>-transversal. (3) If the Green's relation <TEX>$cal{R}$</TEX> and <TEX>$cal{L}$</TEX> are strongly regular (see. sec.1), then any principally ordered regular semigroup (resp. ordered regular semigroup with biggest inverses) has necessarily a multiplicative inverse <TEX>$^{delta}po$</TEX>-transversal. (4) Giving the structure theorem of principally ordered semigroups (resp. ordered regular semigroups with biggest inverses) on which <TEX>$cal{R}$</TEX> and <TEX>$cal{L}$</TEX> are strongly regular." @default.
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- W2003971350 date "2008-01-31" @default.
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- W2003971350 title "ON SOME CLASSES OF REGULAR ORDER SEMIGROUPS" @default.
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- W2003971350 doi "https://doi.org/10.4134/ckms.2008.23.1.029" @default.
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