On the semigroup of square matrices
2008 (English)In: Algebra Colloquium, ISSN 1005-3867, Vol. 15, no 1, 33-52 p.Article in journal (Refereed) Published
We study the structure of nilpotent subsemigroups in the semigroup M(n, F) of all n x n matrices over a field IF 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).
Place, publisher, year, edition, pages
2008. Vol. 15, no 1, 33-52 p.
square matrix, semigroup, nilpotent, conjugate, isomorphism
IdentifiersURN: urn:nbn:se:uu:diva-105801ISI: 000252102200003OAI: oai:DiVA.org:uu-105801DiVA: diva2:222505