TY - JOUR
AU - Pastukhova, I.
PY - 2014/07/15
Y2 - 2023/12/11
TI - On continuity of homomorphisms between topological Clifford semigroups
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 6
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.6.1.123-129
UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/1343
SP - 123-129
AB - Generalizing an old result of Bowman we prove that a homomorphism $f:X\to Y$ between topological Clifford semigroups is continuous if the idempotent band $E_X=\{x\in X:xx=x\}$ of $X$ is a $V$-semilattice;the topological Clifford semigroup $Y$ is ditopological;the restriction $f|E_X$ is continuous;for each subgroup $H\subset X$ the restriction $f|H$ is continuous.
ER -