Thesis (M. Phil.)--University of Hong Kong, 1981.

published_or_final_version / Mathematics / Master / Master of Philosophy

School of Mathematics University of the Witwatersrand (Wits), Johannesburg 31 August 2015 Submitted in partial fulflment of a Masters degree at Wits / The operation defined on a discrete semigroup S can be extended to the Stone- Cech compactification S of S so that for all a 2 S, the left translation S 3 x 7! ax 2 S is continuous, and for all q 2 S, the right translation S 3 x 7! xq 2 S is continuous. Because any compact right topological semigroup, S contains a smallest two-sided ideal K( S) which is a completely simple semigroup. We give an exposition of some basic results related to the semigroup S and to the semigroup algebra `1( S). In particular, we review the result that `1( N) is semisimple if and only if `1(K( N)) is semisimple. We also review the reduction of the question whether `1(K( N)) is semisimple to a question about K( N).

Diss. (sammanfattning) Uppsala : Univ., 2003. / Härtill 3 uppsatser.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1971. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 54-55).