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Conrad’s F-condition for partially ordered monoids

Soft Computing, 2020
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Pengyuan Liu   +2 more
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On Morita Equivalence of Partially Ordered Monoids

Applied Categorical Structures, 2013
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SECOND ORDER DEHN FUNCTIONS OF GROUPS AND MONOIDS

International Journal of Algebra and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X. Wang, Stephen J. Pride
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Finite J-Trivial Monoids and Partially Ordered Monoids

1987
An important result in the theory of automata, due to Imre Simon, characterizes the recognizable languages whose syntactic monoids are J-trivial. This theorem has an easy, although not entirely obvious, restatement as a global structure theorem for finite J-trivial monoids, asserting that every finite J-trivial monoid is a quotient of a finite monoid ...
Howard Straubing, Denis Thérien
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Inverse Monoids With a Natural Semilattice Ordering

Proceedings of the London Mathematical Society, 1995
The thesis of this paper is that many naturally occurring examples of inverse semigroups are endowed with extra structure; typically, they are inverse monoids in which the natural partial order forms a meet semilattice. Inverse semigroups of this kind the author terms inverse algebras.
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Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids

Semigroup Forum, 2017
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Cao, You'an, Li, Zhenheng, Lei, Jie
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DISCRETE ORDERINGS AND COMMUTATIVE MONOIDS

Communications in Algebra, 2001
We show that a countable totally and discretely ordered set with first element inherently carries the structure of an ordered commutative euclidean monoid, provided its order type is of a certain kind. As an application we specify the order types of all discretely ordered sets which can be expanded to ordered commutative euclidean monoids.
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And... Action! – Monoid Actions and (Pre)orders

2014
Orders occur naturally in many areas of computer science and mathematics. In several cases it is very simple do describe an order mathematically, but it may be cumbersome to implement in some programming language. On the other hand many order relations are defined in terms of an existential quantification.
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Residuation in commutative ordered monoids with minimal zero

Reports Math. Log., 2000
The authors define a new algebraic system called semi-integral residuated commutative monoid (sircomonoid). An algebra \(B= \langle B;\oplus,\mathop{\dot-},0\rangle\) of type \(\langle 2,2,0\rangle\) is called a sircomonoid if it satisfies that for \(a,b,c\in B\), (i) \(\langle B;\oplus,0\rangle\) is a commutative monoid; (ii) the relation \(\leq ...
James G. Raftery 0001   +1 more
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