1,721,098 research outputs found
La costruzione di una rete di sostegno ai lavoratori atipici: esperienze a livello locale
No full textAnalisi della diffusione delle forme non standard di lavoro in Italia ed in Emilia Romagna ed esame critico delle misure in termini di politiche del lavoro realizzate, sia a livello nazionale che regionale
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
KEAP1-NFE2L2 Mutations in NSCLC: Increased Awareness Needed. Reply to “KEAP1-NFE2L2–Mutant NSCLC and Immune Checkpoint Inhibitors: A Large Database Analysis”
No full textSet-theoretical solutions of the pentagon equation on Clifford semigroups
Full text linkGiven a set-theoretical solution of the pentagon equation s : S × S → S × S on a set S and writing s(a, b) = (a · b, θa(b)), with · a binary operation on S and θa a map from S into itself, for every a ∈ S, one naturally obtains that (S, ·) is a semigroup. In this paper, we focus on solutions defined in Clifford semigroups (S, ·) satisfying special properties on the set of all idempotents E(S). Into the specific, we provide a complete description of idempotent-invariant solutions, namely, those solutions for which θa remains invariant in E(S), for every a ∈ S. Moreover, we construct a family of idempotent-fixed solutions, i.e., those solutions for which θa fixes every element in E(S) for every a ∈ S, from solutions given on each maximal subgroup of S
Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation
No full textThis paper aims to deepen the theory of bijective non-degenerate set-theoretic solutions of the Yang-Baxter equation, not necessarily involutive, by means of q-cycle sets. We entirely focus on the finite indecomposable ones, among which we especially study the class of simple solutions. In particular, we provide a group-theoretic characterization of these solutions, including their permutation groups. Finally, we deal with some open questions
Reflections to set-theoretic solutions of the Yang-Baxter equation
Full text linkThe main aim of this paper is to determine reflections to bijective and non-degenerate solutions of the Yang-Baxter equation, by exploring their connections with their derived solutions. This is motivated by a recent description of left non-degenerate solutions in terms of a family of automorphisms of their associated left rack. In some cases, we show that the study of reflections for bijective and non-degenerate solutions can be reduced to those of derived type. Moreover, we extend some results obtained in the literature for reflections of involutive non-degenerate solutions to more arbitrary solutions. Besides, we provide ways for defining reflections for solutions obtained by employing some classical construction techniques of solutions. Finally, we gather some numerical data on reflections for bijective non-degenerate solutions associated with skew braces of small order
Set-theoretical solutions of the pentagon equation on groups
No full textLet M be a set. A set-theoretical solution of the pentagon equation on M is a map s : M × M → M × M such that s23 s13 s12 = s12 s23 where (Formula presented.) and (Formula presented.) and τ is the flip map, i.e., the permutation on M × M given by (Formula presented.) for all x,y ε M. In this paper, we give a complete description of the set-theoretical solutions of the form (x.y,x*y) when either (m, .) or (M, *) is a group; moreover, we raise some questions
Set-theoretical solutions of the Yang–Baxter and pentagon equations on semigroups
No full textThe Yang–Baxter and pentagon equations are two well-known equations of Mathematical Physic. If S is a set, a map s: S× S→ S× S is said to be a set-theoretical solution of the quantum Yang–Baxter equation if s23s13s12=s12s13s23,where s12=s×idS, s23=idS×s, and s13=(idS×τ)s12(idS×τ) and τ is the flip map, i.e., the map on S× S given by τ(x, y) = (y, x). Instead, s is called a set-theoretical solution of the pentagon equation if s23s13s12=s12s23.The main aim of this work is to display how solutions of the pentagon equation turn out to be a useful tool to obtain new solutions of the Yang–Baxter equation. Specifically, we present a new construction of solutions of the Yang–Baxter equation involving two specific solutions of the pentagon equation. To this end, we provide a method to obtain solutions of the pentagon equation on the matched product of two semigroups, that is a semigroup including the classical Zappa product
Inverse semi-braces and the Yang-Baxter equation
No full textThe main aim of this paper is to provide set-theoretical solutions of the Yang-Baxter equation that are not necessarily bijective, among these new idempotent ones. In the specific, we draw on both to the classical theory of inverse semigroups and to that of the most recently studied braces, to give a new research perspective to the open problem of finding solutions. Namely, we have recourse to a new structure, the inverse semi-brace, that is a triple (S, +, center dot) with (S, +) a semigroup and (S, center dot) an inverse semigroup satisfying the relation a (b + c) = ab + a (a(-1) + c), for all a, b, c is an element of S, where a(-1) is the inverse of a in (S, center dot). In particular, we give several constructions of inverse semi-braces which allow for obtaining new solutions of the Yang-Baxter equation
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