Intermediate Semigroups are Groups

Details Intermediate Semigroups are Groups Intermediate Semigroups are Groups

1999-03-15

arxiv.org/abs/math/9903088v3

Mathematics

Group Theory

Plain TeX, 6 pages; final version accepted for publication in Semigroup Forum

Scientific paper

We consider the lattice of subsemigroups of the general linear group over an
Artinian ring containing the group of diagonal matrices and show that every
such semigroup is actually a group.

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