On the semigroup of square matrices
Kudryavtseva, Ganna · Mazorchuk, Volodymyr
Original · EN
We study the structure of nilpotent subsemigroups in the semigroup M(n,F) of all n× n matrices over a field, F, with respect to the operation of the usual matrix multiplication. We describe the maximal subsemigroups among the nilpotent subsemigroups of a fixed nilpotency degree and classify them up to isomorphism. We also describe isolated and completely isolated subsemigroups and conjugated elements in M(n,F).
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