Results 91 to 100 of about 12,395 (180)

FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2011
For a finite Thurston-type ordering < of the braid group Bn, we introduce a new normal form of a dual positive braid which we call the [Formula: see text]-normal form, which is useful to compute the ordering. This normal form extends Fromentin's rotating normal form and the author's [Formula: see text]-normal form of positive braids.
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Monoids of Intervals of Ordered Abelian Groups

open access: yesJournal of Algebra, 1996
For any partially ordered abelian group G, we relate the structure of the ordered monoid ?(G) of intervals of G (i.e., nonempty, upward directed lower subsets of G), to various properties of G, as for example interpolation properties, or topological properties of the state space when G has an order-unit.
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Resource convertibility and ordered commutative monoids [PDF]

open access: yesMathematical Structures in Computer Science, 2015
Resources and their use and consumption form a central part of our life. Many branches of science and engineering are concerned with the question of which given resource objects can be converted into which target resource objects. For example, information theory studies the conversion of a noisy communication channel instance into an exchange of ...
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On the algebraic structure of Pythagorean triples

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
A Pythagorean triple is an ordered triple of integers (a,b,c) ≠ (0, 0, 0) such that a^2 + b^2 = c^2. It is well known that the set ℘ of all Pythagorean triples has an intrinsic structure of commutative monoid with respect to a suitable binary operation (℘
Giuseppina Anatriello, Giovanni Vincenzi
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Ordered Monoids: Languages and Relations

open access: yes, 2017
We give a finite axiomatization for the variety generated by relational, integral ordered monoids. As a corollary we get a finite axiomatization for the language interpretation as well.
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