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On products of all elements of a finite semigroup
Published online by Cambridge University Press: 20 January 2009
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Let S be a finite semigroup. Consider the set p(S) of all elements of S which can be represented as a product of all the elements of S in some order. It is shown that p(S) is contained in the minimal ideal M of S and intersects each maximal subgroup H of M in essentially the same way. The main result shows that p(S) intersects H in a union of cosets of H′.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 3 , October 1999 , pp. 551 - 557
- Copyright
- Copyright © Edinburgh Mathematical Society 1999
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