Zobrazeno 1 - 10
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pro vyhledávání: '"PINEDO, HECTOR"'
Given a unital partial action $\alpha $ of a group $G$ on a commutative ring $R$ we denote by $ {\bf PicS} _{R^{\alpha}}(R) $ the Picard monoid of the isomorphism classes of partially invertible $R$-bimodules, which are central over the subring $R^{\
Externí odkaz:
http://arxiv.org/abs/2411.00494
Autor:
Martínez, Luis, Pinedo, Héctor
The classical notion of twisted product is studied in the context of partial actions, in particular, we show that the globalization of a partial action is a twisted product. In addition, we establish conditions for the metrizability of twisted produc
Externí odkaz:
http://arxiv.org/abs/2401.00509
Autor:
Bagio, Dirceu, Pinedo, Héctor
Let $n$ be a positive integer and $R=(M_{ij})_{1\leq i,j\leq n}$ be a generalized matrix ring. For each $1\leq i,j\leq n$, let $I_i$ be an ideal of the ring $R_i:=M_{ii}$ and denote $I_{ij}=I_iM_{ij}+M_{ij}I_j$. We give sufficient conditions for the
Externí odkaz:
http://arxiv.org/abs/2308.14225
We investigate properties of group gradings on matrix rings $M_n(R)$, where $R$ is an associative unital ring and $n$ is a positive integer. More precisely, we introduce very good gradings and show that any very good grading on $M_n(R)$ is necessaril
Externí odkaz:
http://arxiv.org/abs/2304.08547
The main purpose of this paper is to investigate epsilon-strongly graded rings that are partial crossed products. Let $G$ be a group, $A=\oplus_{g\in G}\,A_g$ an epsilon-strongly graded ring and ${\bf pic}{R}$ the Picard semigroup of $R:=A_1$. We pro
Externí odkaz:
http://arxiv.org/abs/2208.09769
Let $E$ be a directed graph, $\mathbb K$ be a field, and $\mathbb F$ be the free group on the edges of $E$. In this work, we use the isomorphism between Leavitt path algebras and partial skew group rings to endow $L_{\mathbb K}(E)$ with an $\mathbb F
Externí odkaz:
http://arxiv.org/abs/2208.04739
Autor:
Bagio, Dirceu, Pinedo, Héctor
Publikováno v:
In Journal of Algebra 1 February 2025 663:533-564
We present some generalizations of the well-known correspondence, found by R. Exel, between partial actions of a group $G$ on a set $X$ and semigroup homomorphism of $S(G)$ on the semigroup $I(X)$ of partial bijections of $X,$ being $S(G)$ an inverse
Externí odkaz:
http://arxiv.org/abs/2112.01289
Let $X$ be a compact Hausdorff space. In this work we translate partial actions of $X$ to partial actions on some hyperspaces determined by $X,$ this gives an endofunctor $2^{-}$ in the category of partial actions on compact Hausdorff spaces which ge
Externí odkaz:
http://arxiv.org/abs/2105.10550
Let $\alpha=(A_g,\alpha_g)_{g\in G}$ be a group-type partial action of a connected groupoid $G$ on a ring $A=\bigoplus_{z\in G_0}A_z$ and $B=A\star_{\alpha}G$ the corresponding partial skew groupoid ring. In the first part of this paper we investigat
Externí odkaz:
http://arxiv.org/abs/2103.04785