Graph products of monoids

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August undefined, 2024

WebGraph theory 8.1. Circuits in undirected graphs ... Dependent products of monoids; 9.34. Dependent products of semigroups; 9.35. The dihedral group construction; 9.36. The dihedral groups; 9.37. The E₈-lattice; 9.38. Embeddings of abelian groups; 9.39. Embeddings of groups; 9.40. The endomorphism rings of abelian groups; 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 …

On Graph Products of Automatic and Biautomatic Monoids

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. Weba semigroup presentation. The construction of graph products of semigroups is funda-mentally di erent to that of graph products of monoids, since semigroups are an algebra with a di erent signature to that of monoids. We will see in Remark 2.4 that each vertex semigroup embeds into the graph product. A graph product of monoids or, indeed, of how is indican formed in the body

On graph products of automatic monoids - Semantic Scholar

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 ... 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 endomorphism monoids of graphs allow to establish a natural connection between graph theory and algebraic theory of semigroups. They have valuable applications (cf. … how is india\u0027s gdp calculated

On Graph Products of Automatic and Biautomatic Monoids

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 … WebThe endomorphism monoids of graphs allow to establish a natural connection between graph theory and algebraic theory of semigroups. They have valuable applications (cf. []), many of which are related to automata theory (cf. [2,3]).In recent years, more and more scholors have paid attention to the endomorphism monoids of graphs and a large … highland park cemetery kyWebGraph theory 8.1. Circuits in undirected graphs ... Dependent products of monoids; 9.34. Dependent products of semigroups; 9.35. The dihedral group construction; 9.36. The dihedral groups; 9.37. The E₈-lattice; 9.38. Embeddings of abelian groups; 9.39. Embeddings of groups; 9.40. The endomorphism rings of abelian groups; highland park cemetery pittsburg ks

"WebSuch representations are coded by closed inverse submonoids of FIM(X). These monoids will be constructed in a natural way from groups acting freely on trees and they admit an idempotent pure retract onto a free inverse monoid. Applications to the classification of finitely generated subgroups of free groups via finite inverse monoids are developed. " - Graph products of monoids

On Graph Products of Automatic and Biautomatic Monoids

On graph products of automatic monoids - Semantic Scholar

Graph products of monoids

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