Graph products of monoids
WebMay 23, 2006 · 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 … WebThe ‘homological classification of monoids’ is a phrase that refers to the use of actions of monoids to classify monoids. It goes back to ... Zappa-Sz´ep products, subshifts of graphs, self-similar group actions. 1. 2 MARK V. LAWSON this property is said to be right abundant; left abundant semigroups are defined ...
Graph products of monoids
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WebDefinition. Given a finite simplicial graph G with a group (or monoid) attached to each vertex, the associated graph product is the group (monoid) gen-erated by each of the vertex groups (monoids) with the added relations that elements of distinct adjacent vertex groups commute. Graph products were defined by Green [15], and have also been ... 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 …
WebMar 20, 2013 · In this paper, we mainly investigate the interplay between the semi-direct product over monoids and the graph-theoretic properties of the semi-direct product in terms of its relations. ... Wang J: Finite derivation type for semi-direct products of monoids. Theor. Comput. Sci. 1998, 191(1–2):219–228. 10.1016/S0304-3975(97)00164-3. WebGraph products of monoids provide a common framework for direct and free products, and graph monoids (also known as free partially commutative monoids). If the …
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, … Webif and only if its graph contains an embedded copy of Γ. As a consequence, we deduce a related restriction on embeddings of direct products of free monoids. In Section 5 we ask what other graph groups and monoids have similar properties. It transpires that the monoid results from Section 4 are best possible, in the sense that every graph ...
Webin graph products of monoids have a left Foata normal; previously this was an important tool in the study of graph monoids, and the same holds here. The structure of this paper is as follows.
WebGraph Products of Right Cancellative Monoids. 2009 • John Fountain. Download Free PDF View PDF. Semigroups, Algorithms, Automata and Languages. An Introduction to Covers for Semigroups. 2002 • John Fountain. Download Free PDF View PDF. Israel Journal of Mathematics. flinn spirit wearWebFeb 12, 2024 · Download PDF Abstract: Graph products of monoids provide a common framework for direct and free products, and graph monoids (also known as free partially commutative monoids). If the monoids in question are groups, then any graph product is, of course, a group. For monoids that are not groups, regularity is perhaps the first and … flinn spectrometergreater is he that is in me scripture hubWebhow the monoids of composed graphs (e.g. product graphs) relate to algebraic com-positions (e.g. products) of the monoids of the components. This type of question can be interpreted as follows: when is the formation of the monoid product-preserving? In Chapter 11 we come back to the formation of Cayley graphs of a group or semi-group. flinn solubility chartWebEnter the email address you signed up with and we'll email you a reset link. flinn southavenWebSep 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. … greater is he that is in me scripture imagesWebThe endomorphism monoids of graphs allow to establish a natural connection between graph theory and algebraic theory of semigroups. They have valuable applications (cf. … greater is he that is in me song lyrics