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*-Lie-Type maps on alternative *-algebras

Andrade, Aline Jaqueline De Oliveira; Barreiro, Elisabete; Ferreira, Bruno Leonardo Macedo

Let A and A be two alternative ∗-algebras with identities 1A and 1A , respectively, and e1 and e2 = 1A − e1 nontrivial symmetric idempotents in A. In this paper, we study the characterization of multiplicative ∗-Lie-type maps. As application, we get a result on alternative W∗-algebras.


Parameterized codes over graphs

Neves, Jorge; Vaz Pinto, Maria

In this article we review known results on parameterized linear codes over graphs, introduced by Rentería et al. (Finite Fields Appl 17(1):81–104, 2011) . Very little is known about their basic parameters and invariants. We review in detail the parameters dimension, regularity and minimum distance. As regards the parameter dimension, we explore the connection to Eulerian ideals in the ternary case and we give n...


Intranasal Microemulsion as an Innovative and Promising Alternative to the Oral...

Meirinho, Sara; Rodrigues, Márcio; Santos, Adriana O; Falcão, Amílcar; Alves, Gilberto

Stiripentol (STP) is a new-generation antiepileptic only available for oral administration. However, it is extremely unstable in acidic environments and undergoes gastrointestinal slow and incomplete dissolution. Thus, STP intranasal (IN) administration might overcome the high oral doses required to achieve therapeutic concentrations. An IN microemulsion and two variations were herein developed: the first conta...


Nanoformulations for the Delivery of Dietary Anthocyanins for the Prevention an...

Nunes, Ana R.; Costa, Elisabete C.; Alves, Gilberto; Silva, Luís R.

Diabetes mellitus (DM) is a metabolic disease characterized by abnormal blood glucose levels-hyperglycemia, caused by a lack of insulin secretion, impaired insulin action, or a combination of both. The incidence of DM is increasing, resulting in billions of dollars in annual healthcare costs worldwide. Current therapeutics aim to control hyperglycemia and reduce blood glucose levels to normal. However, most mod...


Vaginal Sheets with Thymbra capitata Essential Oil for the Treatment of Bacteri...

Tomás, Mariana; Sousa, Lúcia G. V.; Oliveira, Ana Sofia; Gomes, Carolina P.; Palmeira-de-Oliveira, Ana; Cavaleiro, Carlos; Salgueiro, Lígia; Cerca, Nuno

We aimed to incorporate Thymbra capitata essential oil (TCEO), a potent antimicrobial natural product against bacterial vaginosis (BV)-related bacteria, in a suitable drug delivery system. We used vaginal sheets as dosage form to promote immediate relief of the typical abundant vaginal discharge with unpleasant odour. Excipients were selected to promote the healthy vaginal environment reestablishment and bioadh...


Mediterranean Lavenders from Section Stoechas: An Undervalued Source of Seconda...

Domingues, Joana Cristina; Delgado, Fernanda; Gonçalves, José Carlos; Zuzarte, Mónica; Duarte, Ana Paula

Globally, climate change and wildfires are disrupting natural ecosystems, thus setting several endemic species at risk. The genus Lavandula is widely present in the Mediterranean region and its species, namely, those included in the section Stoechas, are valuable resources of active compounds with several biological assets. Since ancient times lavenders have been used in traditional medicine and for domestic pu...


A Rule Based Theorem Prover: an Introduction to Proofs in Secondary Schools

Teles, Joana; Santos, Vanda; Quaresma, Pedro

The introduction of automated deduction systems in secondary schools face several bottlenecks. Beyond the problems related with the curricula and the teachers, the dissonance between the outcomes of the geometry automated theorem provers and the normal practice of conjecturing and proving in schools is a major barrier to a wider use of such tools in an educational environment. Since the early implementations of...


Bank Credit and Trade Credit: The Case of Portuguese SMEs from 2010 to 2019

Pinto, António Pedro Soares; Henriques, Carla Manuela Ribeiro; Cardoso, Carolina Esteves Oliveira da Silva; Neves, Maria Elisabete Duarte

Small companies face significant difficulties in accessing finance, and the use of bank credit and trade credit are the primary sources of financing, specifically in small countries, with little market liquidity, and focused on the banking system, as is the case of Portugal. The main objective of this article is to identify significant drivers of bank and trade credit, as well as investigate the complementary o...


Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs

Abdelwahab, Hani; Barreiro, Elisabete; Calderón, Antonio J.; Sánchez, José M.

In this work, we study a linear operator f on a pre-Euclidean space V by using properties of a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonal direct sum of certain linear subspaces fUigi2I , each one admitting a basis inherited from B, in such way that f = åi2I fi. Each fi is a linear operator satisfying certain conditions with respect to Ui. Considering this new hyp...


Fighting Epilepsy with Nanomedicines-Is This the Right Weapon?

Matias, Mariana; Santos, Adriana O.; Silvestre, Samuel; Alves, Gilberto

Epilepsy is a chronic and complex condition and is one of the most common neurological diseases, affecting about 50 million people worldwide. Pharmacological therapy has been, and is likely to remain, the main treatment approach for this disease. Although a large number of new antiseizure drugs (ASDs) has been introduced into the market in the last few years, many patients suffer from uncontrolled seizures, dem...


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