A Representation Theorem for Distributive l-Monoids
1984 ◽
Vol 27
(2)
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pp. 238-240
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AbstractIn this note the Holland representation theorem for l-groups is extended to l-monoids by the following theorem: an l-monoid is distributive if and only if it may be embedded into the l-monoid of order-preserving functions on some totally ordered set. A corollary of this representation theorem is that a monoid is right orderable if and only if it is a subsemigroup of a distributive l-monoid; this result is analogous to the group theory case.
1994 ◽
Vol 03
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pp. 223-231
2015 ◽
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pp. 25-32
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2001 ◽
Vol 25
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pp. 323-329
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1990 ◽
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pp. 27-55
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1977 ◽
Vol 24
(2)
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pp. 203-215
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Vol 31
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pp. 304-307
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2020 ◽
Vol 476
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pp. 20200294
1994 ◽
Vol 36
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pp. 87-90
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