Centro de Matemática

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most citedAutomated polyp detection in colon capsule endoscopy

306 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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15 papers · 1 filter

math.RA2020

The spectrum of a localic semiring

Graham Manuell

A number of spectrum constructions have been devised to extract topological spaces from algebraic data. Prominent examples include the Zariski spectrum of a commutative ring, the S…

math.RA2020★ 27 cited

Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

Helena Albuquerque, Elisabete Barreiro, Saïd Benayadi +2

Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and…

math.RA2020★ 1 cited

Leibniz superalgebras with a set grading

Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1

Consider a Leibniz superalgebra $L$ additionally graded by an arbitrary set $I$ (set grading). We show that $L$ decomposes as the sum of well-described graded i…

math.RA2019★ 9 cited

Degenerations of nilpotent associative commutative algebras

Ivan Kaygorodov, Samuel A. Lopes, Yury Popov

We give a complete description of degenerations of complex $5$ -dimensional nilpotent associative commutative algebras.

math.RA2019★ 41 cited

Degenerations of nilpotent algebras

Amir Fernández Ouaridi, Ivan Kaygorodov, Mykola Khrypchenko +1

We give a complete description of degenerations of $3$ -dimensional nilpotent algebras, $4$ -dimensional nilpotent commutative algebras and $5$ -dimensional nilpotent anticommutative…

math.RA2018★ 6 cited

Differential identities and polynomial growth of the codimensions

Carla Rizzo, Rafael Bezerra dos Santos, Ana Cristina Vieira

Let $A$ be an associative algebra over a field $F$ of characteristic zero and let $L$ be a Lie algebra over $F$ . If $L$ acts on $A$ by derivations, then such an action determines a…

math.RA2018

Continuity of the core-EP inverse and its applications

Yuefeng Gao, Jianlong Chen, Pedro Patricio

In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical…

math.RA2018★ 3 cited

Representations and properties of the W-weighted core-EP inverse

Yuefeng Gao, Jianlong Chen, Pedro Patricio

In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and Thome. Several computational representations of the weighted core-EP inverse are obtain…

math.RA2018★ 4 cited

Decompositions of linear spaces induced by $n$ -linear maps

Antonio Jesús Calderón, Ivan Kaygorodov, Paulo Saraiva

Let $V$ be an arbitrary linear space and $f : V \times \dots \times V \to V$ an $n$ -linear map. It is proved that, for each choice of a basis ${\math…

math.RA2018★ 3 cited

$n$ -Ary generalized Lie-type color algebras admitting a quasi-multiplicative basis

Elisabete Barreiro, Antonio Jesús Calderón, Ivan Kaygorodov +1

The class of generalized Lie-type color algebras contains the ones of generalized Lie-type algebras, of $n$ -Lie algebras and superalgebras, commutative Leibniz $n$ -ary algebras and…

math.RA2017★ 5 cited

$k$ -Modules over linear spaces by $n$ -linear maps admitting a multiplicative basis

Elisabete Barreiro, Ivan Kaygorodov, José M. Sánchez

We study the structure of certain $k$ -modules $V$ over linear spaces $W$ with restrictions neither on the dimensions of $V$ and $W$ nor on the b…

math.RA2016★ 81 cited

Characterizations and representations of core and dual core inverses

Jianlong Chen, Huihui Zhu, Pedro Patricio +1

In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are…

math.RA2016

Centralizer's applications to the inverse along an element

Huihui Zhu, Jianlong Chen, Pedro Patricio +1

In this paper, we first prove that the absorption law for one-sided inverses along an element holds, deriving the absorption law for the inverse along an element. We then apply thi…

math.RA2013★ 4 cited

On Topological Lattices and an Application to First Submodules

Jawad Abuhlail, Christian Lomp

We introduce the notion of a (strongly) topological lattice $L = (L, \land, \lor)$ with respect to a subset $X ⫋ L;$ aprototype is the lattice of (two-sided) ideal…

math.RA2012★ 30 cited

Finite Gröbner--Shirshov bases for Plactic algebras and biautomatic structures for Plactic monoids

Alan J. Cain, Robert D. Gray, António Malheiro

This paper shows that every Plactic algebra of finite rank admits a finite Gröbner--Shirshov basis. The result is proved by using the combinatorial properties of Young tableaux to…