Sets of idempotents that generate the semigroup of singular endomorphisms of a finite-dimensional vector space
1982 ◽
Vol 25
(2)
◽
pp. 133-139
◽
Keyword(s):
IfMis a mathematical system and EndMis the set of singular endomorphisms ofM, then EndMforms a semigroup under composition of mappings. A number of papers have been written to determine the subsemigroupSMof EndMgenerated by the idempotentsEMof EndMfor different systemsM. The first of these was by J. M. Howie [4]; here the case ofMbeing an unstructured setXwas considered. Howie showed that ifXis finite, then EndX=Sx.
1986 ◽
Vol 69
(4)
◽
pp. 37-46
◽
1982 ◽
Vol 86
◽
pp. 229-248
◽
1985 ◽
Vol 28
(3)
◽
pp. 319-331
◽
1985 ◽
Vol 98
◽
pp. 139-156
◽
1989 ◽
Vol 41
(4)
◽
pp. 592-611
◽