Results 31 to 40 of about 31,145 (240)
, 2002 We construct a new monoid structure for Artin groups associated with finite Coxeter systems. This monoid shares with the classical positive braid monoid a crucial algebraic property: it is a Garside monoid.
Bessis, David
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Tropical plactic algebra, the cloaktic monoid, and semigroup representations [PDF]
Journal of Algebra, 2017 A new tropical plactic algebra is introduced in which the Knuth relations are inferred from the underlying semiring arithmetics, encapsulating the ubiquitous plactic monoid $\mathcal{P}_n$.
Z. Izhakian
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On finest unitary extensions of topological monoids
Topological Algebra and its Applications, 2015 We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
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Garside monoids vs divisibility monoids [PDF]
Mathematical Structures in Computer Science, 2005 Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to ...
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, 2018 Given a classical algebraic structure—e.g. a monoid or group—with carrier set X, and given a positive integer n, there is a canonical way of obtaining the same structure on carrier set Xn by defining the required operations “pointwise”. For resource-sensitive algebra (i.e.
Chantawibul, Apiwat, Sobocinski, Pawel
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Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid [PDF]
, 2019 If F is an ordered field and M is a finite-rank torsion-free monoid, then one can embed M into a finite-dimensional vector space over F via the inclusion M ↪ gp ( M ) ↪ F ⊗ Z gp ( M ) , where gp ( M ) is the Grothendieck group of M.
F. Gotti
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Computing the ideal class monoid of an order [PDF]
Journal of the London Mathematical Society, 2018 There are well‐known algorithms to compute the class group of the maximal order OK of a number field K and the group of invertible ideal classes of a non‐maximal order R .
S. Marseglia
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On presentations of Brauer-type monoids [PDF]
, 2005 We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of
Kudryavtseva, Ganna +1 more
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Unimodular rows over monoid rings [PDF]
Advances in Mathematics, 2017 For a commutative Noetherian ring R of dimension d and a commutative cancellative monoid M, the elementary action on unimodular n-rows over the monoid ring R[M] is transitive for n>=max(d+2,3).
J. Gubeladze
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Proceedings of the American Mathematical Society, 1978 A representable monoid is one with enough representative functions to separate points. It is shown that the monoid algebra of a representable monoid is a proper algebra. In particular, the group algebra of a residually-finite group is a proper algebra. It is also shown that the free product of two representable monoids is again representable.
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