Regular order-preserving transformation semigroups
نویسندگان
چکیده
منابع مشابه
Regular Elements of Some Semigroups of Order-Preserving Partial Transformations
Let X be a chain, OP (X) the order-preserving partial transformation semigroup on X and OI(X) the order-preserving 1–1 partial transformation semigroup on X. It is known that both OP (X) and OI(X) are regular semigroups. We extend these results by characterizing the regular elements of the semigroups OP (X,Y ), OI(X,Y ), OP (X,Y ) and OI(X,Y ) where ∅ = Y ⊆ X,OP (X,Y ) = {α ∈ OP (X) | ranα ⊆ Y ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2000
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270001902x