WebSep 1, 2001 · It is proved that graph products of automatic monoids of finite geometric type are still automatic and a similar result for prefix-automatic monoids is established. … WebOct 9, 2009 · Our first main result shows that a graph product of right cancellative monoids is itself right cancellative. If each of the component monoids satisfies the condition that …
Dependent products of monoids - Agda-UniMath
WebMar 14, 2008 · Our first main result shows that a graph product of right cancellative monoids is itself right cancellative. If each of the component monoids satisfies the condition that the intersection of two principal left ideals is either principal or empty, then so does the graph product. Our second main result gives a presentation for the inverse hull … WebGraph products The importance of graph products Graph products include: 1 Graph groups and monoids, also known as right-angled Artin groups/monoids, free partially commutative groups/monoids, trace groups(!)/monoids. (Finitely generated monoids and groups de ned by presentations in which the only relations have forms a b = b a for … incised roman font
[2102.06409v2] Graph products of monoids - arxiv.org
WebSep 15, 2024 · A partial automorphism of a finite graph is an isomorphism between its vertex-induced subgraphs. The set of all partial automorphisms of a given finite graph forms an inverse monoid under composition (of partial maps). We describe the algebraic structure of such inverse monoids by the means of standard tools of inverse semigroup theory, … WebThe graph product is an operator mixing direct and free products. Whether the product between two monoids is free or direct is determined by a simplicial graph, that is, a graph with no loops. Considering a monoid attached to each vertex of the graph, the associated graph product is the monoid generated by WebMay 23, 2006 · Abstract. It is shown that the graph product of automatic monoids is always automatic thereby improving on a result by Veloso da Costa [22] who showed this result provided the factors have finite geometric type. Secondly, we prove that, in general, the free product (and therefore the graph product) of biautomatic monoids need not be … inbound marketing agency chicago