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Enlargements and Coverings by Rees Matrix Semigroups

✍ Scribed by Mark V. Lawson; L. Márki

Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
61 KB
Volume
129
Category
Article
ISSN
0026-9255

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In a recent paper (Trans. Amer. Math. Soc. 349 (1997), 4265-4310), P.G. Trotter and the author introduced a "regular" semidirect product U \* V of e-varieties U and V. Among several specific situations investigated there was the case V = RZ, the e-variety of right zero semigroups. Applying a coverin

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By JAMES A. RATE and JOHN K . LUEDEMAN of Clemson (I7.S.A.) (Eingegangen am 22. 11. 1979) REES matrix semigroups &I= (S, ,I, -1, P) over a semigroup correspond loosely to the n X n matrix rings over it ring R. It is well known that &(R,)x .=(&(R)),,. Moreover, when S is it finite BRANDT semigroup, S