SEPARABILITY CONDITIONS IN ACTS OVER MONOIDS
نویسندگان
چکیده
We discuss residual finiteness and several related separability conditions for the class of monoid acts, namely weak subact separability, strong complete separability. For each these four conditions, we investigate which monoids have property that all their (finitely generated) acts satisfy condition. In particular, prove that: over a finite are completely separable (and hence other three conditions); finitely generated commutative residually strongly weakly separable); idempotent separable; Clifford separable.
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2022
ISSN: ['0001-5954', '0236-5294', '1588-2632']
DOI: https://doi.org/10.1007/s10474-022-01244-z