on continuity of homomorphisms between topological clifford semigroups
Clicks: 235
ID: 134678
2014
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Abstract
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.
| Reference Key |
pastukhova2014karpatskon
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|---|---|
| Authors | ;I. Pastukhova |
| Journal | advances in chronic kidney disease |
| Year | 2014 |
| DOI |
10.15330/cmp.6.1.123-129
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| URL | |
| Keywords | Keywords not found |
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