Free products with amalgamation of monoids

Free Products with Amalgamation and 3-manifolds

Zappa-Szép products of free monoids and groups

We prove that left cancellative right hereditary monoids satisfying the dedekind height property are precisely the Zappa-Szép products of free monoids and groups. The ‘fundamental’ monoids of this type are in bijective correspondence with faithful self-similar group actions. 2000 AMS Subject Classification: 20M10, 20M50. 1 A class of left cancellative monoids This paper develops some ideas that...

On Properties of Monoids That Are Modular for Free Products and for Certain Free Products with Amalgamated Submonoids

A property P of string-rewriting systems is called modular if the disjoint union R 1 R 2 of two string-rewriting systems R 1 and R 2 has this property if and only if R 1 and R 2 both have this property. Analogously, a property P of monoids is modular if the free product M 1 M 2 of two monoids M 1 and M 2 has this property if and only if M 1 and M 2 both have this property. Since the string-rewr...

Exactness of Universal Free Products of Finite Dimensional C-algebras with Amalgamation

Recall that for C-algebras A and B there are many possible norms on A ⊗ B for which the completion is a C-algebra. In particular there are two standard completions A ⊗min B and A⊗max B corresponding to the ‘smallest’ and ‘largest’ possible tensor norms. We say that A is nuclear if these two tensor products correspond for all C-algebras B. We say that a C-algebra A is exact if given any short ex...

-torsion free Acts Over Monoids

In this paper firt of all we introduce a generalization of torsion freeness of acts over monoids, called -torsion freeness. Then in section 1 of results we give some general properties and in sections 2, 3 and 4 we give a characterization of monoids for which this property of their right Rees factor, cyclic and acts in general  implies some other properties, respectively.