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- W4300941342 abstract "In an earlier work, the author observed that Boolean inverse semi-groups, with semigroup homomorphisms preserving finite orthogonal joins, form a congruence-permutable variety of algebras, called biases. We give a full description of varieties of biases in terms of varieties of groups: (1) Every free bias is residually finite. In particular, the word problem for free biases is decidable. (2) Every proper variety of biases contains a largest finite symmetric inverse semigroup, and it is generated by its members that are generalized rook matrices over groups with zero. (3) There is an order-preserving, one-to-one correspondence between proper varieties of biases and certain finite sequences of varieties of groups, descending in a strong sense defined in terms of wreath products by finite symmetric groups." @default.
- W4300941342 created "2022-10-04" @default.
- W4300941342 creator A5073101686 @default.
- W4300941342 date "2016-10-24" @default.
- W4300941342 modified "2023-09-26" @default.
- W4300941342 title "Varieties of Boolean inverse semigroups" @default.
- W4300941342 doi "https://doi.org/10.48550/arxiv.1610.07447" @default.
- W4300941342 hasPublicationYear "2016" @default.
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