[PDF] Top 20 A flatness property of acts over monoids

... We introduce here a new condition, related to condition (P ), and establish some connections with flatness. First notice that a right S-act A satisfies condition (P ) if and only if for a, a 0 ∈ A, u, v ∈ S and au ... See full document

... between acts theory and module ...injective acts over monoids is introduced which represents a generalization of quasi ...the property of closed quasi ...injective acts ... See full document

... of monoids by flatness ...the flatness properties coincide, either for all right acts, or for all right acts of certain ...of acts over monoids have appeared in ... See full document

... Now, it is natural to ask for monoids over which  - torsion freeness of Rees factor acts implies torsion freeness and all properties which imply torsion freeness. Theorem 2.2. Let S be a monoid. ... See full document

... Ehresmann monoids are in general very far from being ...R-modules over a ring R and S-acts over a monoid S, Bass-Serre theory of groups acting on trees, and (in a context relatively close to ... See full document

... Items deposited in White Rose Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by ... See full document

... inverse monoids constitute the algebraic theory of those partial symmetries which are restrictions of automorphisms; the formal definition is that each element is the product of an idempotent and an ...of ... See full document

... for monoids and rings in a dual manner; a monoid or ring is coherent if it is both right and left ...and monoids and as demonstrated by Wheeler [7], it is intimately related to the model theory of R-modules ... See full document

... inverse monoids constitute the algebraic theory of those partial symmetries which are restrictions of automorphisms; the formal de…nition is that each element is the product of an idempotent and an ...of ... See full document

... Let C be the Cayley graph of FG(Ω) which is well known to be a tree. Therefore each finite subset A ⊆ FG(Ω) determines a maximum subgraph of C having A as its set of vertices. From now on, we identify A with this ... See full document

... Throughout this paper will denote a monoid. We refer the reader to ([1]) and ([2]) for basic results, definitions and terminology relating to semigroups and acts over monoids and to [3,4] for ... See full document

... of monoids by flatness ...the flatness properties coincide, either for all right acts, or for all right acts of certain ...of acts over monoids have appeared in ... See full document

... The amalgamated free product, which had earlier been used by Schreier in 1927 to prove that the class of groups had the strong amalgamation property, was also the main tool of J M Howie [r] ... See full document

... choosing efficiency or (minimal) inefficiency was to have an advantage to work on a min- imal number of generators.) Then it was investigated whether some generating functions can be applied, and then it was studied what ... See full document

... In particular, the decomposition of a matrix into a product of matrices of the same rank is shown to generalize to a decomposition for an element of a J - class of a reductive monoid int[r] ... See full document

... The first chapter looks at a class of generalized Coxeter monoids, the ’CI- monoids’ appearing in [23]. We extend results by S.V. Tsaranov [28] and classify all the CI-monoids that have a zero ... See full document

... It has been proved that a smooth projective variety, upon which an algebraic torus acts with finitely many fixed points, can be decomposed into invariant affine cells [BB1]. This method for breaking down a space into ... See full document

... This also makes it clear that neither a coordinate transformation nor a Lorentz transformation can change the geometric base structure of the space. k = 0 in (3.1) thus results from Einstein’s elevator principle and ... See full document

... From the same viewpoint, the move from first-order logic to Independence Friendly logic can be appreciated. From a purely game-theoretic angle, Hintikka and Sandu [21, 23, 33] generalized the semantic games for ... See full document

... A semigroup M is said to be factorizable if M = EG where E is a set of idempotents of M , and G is a subgroup of M . The study of factorizable inverse semigroups was initiated in [1]. In this context, M has an identity ... See full document