Heriot-Watt Mathematics Report Series
HWM06-13, 31 Mar 2006
In McAlister's footsteps: a random ramble around the P-theorem
M V Lawson and S W Margolis
Abstract
The work of Don McAlister has been an inspiration to all of us interested in semigroups. In 1974, Don published two papers that have had a decisive impact on the subsequent development of semigroup theory. In these papers, two major theorems were proved: the `covering theorem' and the `P-theorem'. In this paper, we shall take the latter as the starting point for some excursions through our own and others' work.
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