http://hdl.handle.net/10174/1009 2026-04-11T01:52:18Z http://hdl.handle.net/10174/41411 Title: Bridging meadows and sheaves Authors: Dias, João; Dinis, Bruno; Macias Marques, Pedro Abstract: We bridge sheaves of rings over a topological space with common meadows (algebraic structures where the inverse for multiplication is a total operation). More specifically, we show that, given a topological space X, the subclass of pre-meadows with a, coming from the lattice of open sets of X, and the class of presheaves over X are the same structure. Furthermore, we provide a construction that, given a sheaf of rings F on X, produces a common meadow as a disjoint union of elements of the form F(U) indexed over the open subsets of X. As a consequence, we see that the process of going from a presheaf to a sheaf (called sheafification) allows us to get a way to construct a common meadow from a given pre-meadow as above. 2026-01-01T00:00:00Z http://hdl.handle.net/10174/41122 Title: Marginality scales for gradable adjectives Authors: Dinis, Bruno; Jacinto, Bruno Abstract: We propose the marginality scales account of the semantics of vague gradable adjectives, argue that this account is supported by Fara's interest-relative conception of vagueness, and show how this fact sheds new light on Dinis and Jacinto's nonstandard primitivism about vagueness -- a central feature of the marginality scales account. Nonstandard primitivism relies on the so-called ML theory. We also offer a significantly simplified version of this theory. 2026-01-01T00:00:00Z http://hdl.handle.net/10174/40962 Title: The Covariety of Bracelet numerical semigroups with fixed Frobenius number Authors: J. C., Rosales; M. B., Branco; Ilvécio, Ramos Editors: Asian-European Journal of Mathematics (AEJM). Abstract: Given a set of positive integers {n1,…,np}, we say that a numerical semigroup S is a {n1,…,np}-bracelet if a+b+{n1,…,np}⊆S for every a,b∈S∖{0}. In this note we study the set of {n1,…,np}-bracelet numerical semigroups with fixed Frobenius number, denoted by B({n1,…,np},F). We will prove that B({n1,…,np},F) is a covariety and we will give algorithms for computing all elements in B({n1,…,np},F) or all elements in B({n1,…,np},F) with fixed genus. 2025-01-01T00:00:00Z http://hdl.handle.net/10174/40924 Title: Numerical semigroups with non-admissible distances between gaps greater than its multiplicity Authors: José C., Rosales; Manuel B., Branco; Marcio A., Traesel. Abstract: Let A pabe a nonempty subset of positive integers. In this paper we study the set of numerical semigroups that fulfill: if {x,y} ⊆ ℕ\S and x > y > min(S\{0}), then x-y ∉ A. 2025-12-12T00:00:00Z