Multifraction reduction III: The case of interval monoids

More generally for any variety V of monoids (a variety being the undisputed best fit with the informal notion of a natural class of monoids) one can define the class P (V) of

Given a pencil of algebraic plane curves such that a general element is irreducible, the purpose of this paper is to give a sharp upper bound for the number of reducible curves in

A key example of this is the Hopf algebra of graphs G as given in [16], where the authors derive the antipode formula and use it to obtain the celebrated Stanley’s (−1)-color

The vector Boolean functions are used in cryptography to construct block ciphers and an important criterion on these functions is high resistance to differential cryptanalysis.. Let q

One of the families of groups where the interaction between algebraic and geometric techniques has been most fruitful is the family of Artin groups, also known as Artin- Tits groups

We say that a monoid M satisfies the right (resp., left ) 3-Ore condition if (4.14) if three elements of M pairwise admit a common right (resp., left) multiple,.. then they admit

It is proved in [13] that, if the monoid M satisfies various properties involving the divisibility relations, all true in every Artin–Tits monoid, together with an additional

Then it will suce to apply Herman's theorem on dieomorphisms of the circle to conclude that each of the dieomorphisms appearing in this decomposition can be written as a product