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For each n∈N, we introduce the algebraic semantics for the minimum many-valued modal logic over the MV-chain with n elements. We prove that this quasivariety of algebras is generated by the complex algebras, obtaining ...

These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge ...

Abstract This study evaluates the effectiveness of a gamified interactive educational tool (G-IET) in addressing reversal errors in algebra, a persistent misinterpretation of relational language in comparative word probl...

RESUMO O ensino de Álgebra tem se restringido a questões técnicas e operacionais, deixando de lado, muitas vezes, o desenvolvimento de conceitos e do pensamento algébrico. Acreditamos que esse enfoque está por trás...

A near-Heyting algebra is a join-semilattice with a greatest element such that every principal upset is a Heyting algebra. We will present several characterizations of the concept of near-Heyting algebra. We will show th...

We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebr...

"SPARQL queries can be represented in RDF in order to work with them as first-class citizen in Semantic Web applications. The representation used so far, SPIN SPARQL, closely follows the abstract syntax tree, but fails t...

The following open problem state that: If  is a dense range homomorphism from Banach algebra into Banach algebra  such that  is semisimple. Is  automatically continuous? (see[1]) In [5] given a partial solution of th...

In this paper we investigate a subvariety BA of tense algebras, which we call Boolean algebras with a distinguished automorphism. This variety provides a unifying framework for the algebras studied by Monteiro in [4] and...

In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalent and we prove that if H is a weak Hopf ...

Abstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isome...

This quantitative study investigated the efficacy of a multiple measures placement algorithm designed to broaden access to a transferable college algebra course among dual-credit students at a large, suburban community c...

This paper addresses trajectory tracking problem in mobile robots considering additive uncertainties. The controller design method is based on linear algebra theory. Numerical estimation techniques are used to estimate t...

We say that an algebra a is multiplicative prime if both a and m(a) ( the multiplication algebra of a) are prime . in this paper , we study the transitivity of the property of multiplicative primeness for real normal alg...

We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GKdim for short, through the study of Nichols algebras over abelian groups. We deal first with braided vector spaces over Z wit...

We consider a class of Nichols algebras B(Lq(1 , G)) introduced in Andruskiewitsch et al. which are domains and have many favourable properties like AS-regular and strongly noetherian. We classify their finite-dimensiona...

The students' mathematical understanding is important to master. Mathematical understanding is also one of the goals of each material presented by the teacher, because the teacher is a guide to achieve the expected conce...

Since the representation theory start, the mathematics science especially in algebra began to open many new researches such our this one, we start from Schur algebra in his new representation described by Green [6], pass...

In this paper we give a constructive proof that the variety of Boolean algebras has the strong amalgamation property by describing constructively the strong amalgams in the variety. Then, capitalizing on this constructio...

Background: The transition from arithmetic to algebra remains a persistent challenge in early mathematics education. While structural awareness is widely recognised as foundational to this shift, the developmental mecha...

This research was conducted to explain the thinking process of students in solving mathematical problems of pattern generalization based on Polya measurement in terms of Reflective cognitive style. This research is a qua...

Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correla...

We show that the Hochschild homology of a differential operator kalgebra E = A#f U(g), is the homology of a deformation of the Chevalley-Eilenberg complex of g with coefficients in (M ⊗A^-∗, b∗). Moreover, when A i...

We study left invariant conformal Killing–Yano (CKY) 2-forms on Lie groups endowed with a left invariant metric. We classify all 5-dimensional metric Lie algebras carrying CKY tensors that are obtained as a one-dimensi...