On Nilpotent Subsemigroups in some Matrix Semigroups

Ganyushkin, Olexandr, and Mazorchuk, Volodymyr. "On Nilpotent Subsemigroups in some Matrix Semigroups." Serdica Mathematical Journal 33.2-3 (2007): 287-300. <http://eudml.org/doc/281363>.

@article{Ganyushkin2007,
abstract = {2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.},
author = {Ganyushkin, Olexandr, Mazorchuk, Volodymyr},
journal = {Serdica Mathematical Journal},
keywords = {Nilpotent Semigroup; Stochastic Matrix; Partial Order; Block; Polyhedron; nilpotent semigroups; doubly stochastic matrices; partial orders; blocks; polyhedra},
language = {eng},
number = {2-3},
pages = {287-300},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Nilpotent Subsemigroups in some Matrix Semigroups},
url = {http://eudml.org/doc/281363},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Ganyushkin, Olexandr
AU - Mazorchuk, Volodymyr
TI - On Nilpotent Subsemigroups in some Matrix Semigroups
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 2-3
SP - 287
EP - 300
AB - 2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.
LA - eng
KW - Nilpotent Semigroup; Stochastic Matrix; Partial Order; Block; Polyhedron; nilpotent semigroups; doubly stochastic matrices; partial orders; blocks; polyhedra
UR - http://eudml.org/doc/281363
ER -