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Maria das Graças Bruno Marietto

Publications and source records attributed to Maria das Graças Bruno Marietto.

6 recordsLinked to original sources
arXiv2022

Mappings preserving sum of triple products on $\ast $-algebras

Let $\mathcal{A}$ and $\mathcal{B}$ be two unital complex $\ast $-algebras such that $\mathcal{A}$ has a nontrivial projection. In this paper, we study the structure of bijective mappings $Φ:\mathcal{A}\rightarrow \mathcal{B}$ preserving sum of triple products $α_{1} ab^{*}c+α_{2} acb^{*}+α_{3} b^{*}ac +α_{4} cab^{*}+α_{5} b^{*}ca+α_{6} cb^{*}a,$ where the scalars $\{α_{k}\}_{k=1}^{6}$ are complex numbers satisfying some conditions. Applications of obtained results are given.

math.RA↗
arXiv2022

Nonlinear maps preserving sums of triple products on $\ast $-algebras

Let $\mathcal{A}$ and $\mathcal{B}$ be two unital complex $\ast $-algebras such that $\mathcal{A}$ has a nontrivial projection. In this paper, we study the structure of bijective nonlinear maps $Φ:\mathcal{A}\rightarrow \mathcal{B}$ preserving sum of triple products $α_{1} abc+α_{2} a^{*}cb^{*}+α_{3} ba^{*}c +α_{4} cab^{*}+α_{5} bca+α_{6} cb^{*}a^{*},$ where the scalars $\{α_{k}\}_{k=1}^{6}$ are complex numbers satisfying some conditions.

math.RA↗
arXiv2020

Mappings preserving product $ab\pm ba^{*}$ on alternative $W^{*}$-factors

Let $\mathcal{A}$ and $\mathcal{B}$ be two alternative $W^{*}$-factors. In this paper, we proved that a bijective mapping $Φ:\mathcal{A}\rightarrow \mathcal{B}$ satisfies $Φ(ab+ba^{*})=Φ(a)Φ(b)+Φ(b)Φ(a)^{*}$ (resp., $Φ(ab-ba^{*})=Φ(a)Φ(b)-Φ(b)Φ(a)^{*}$), for all elements $a,b\in \mathcal{A}$, if and only if $Φ$ is a $\ast $-ring isomorphism.

math.RA↗
arXiv2015

SNA-based reasoning for multiagent team composition

The social network analysis (SNA), branch of complex systems can be used in the construction of multiagent systems. This paper proposes a study of how social network analysis can assist in modeling multiagent systems, while addressing similarities and differences between the two theories. We built a prototype of multi-agent systems for resolution of tasks through the formation of teams of agents that are formed on the basis of the social network established between agents. Agents make use of performance indicators to assess when should change their social network to maximize the participation in teams

cs.MA↗
arXiv2013

Artificial Intelligence MArkup Language: A Brief Tutorial

The purpose of this paper is to serve as a reference guide for the development of chatterbots implemented with the AIML language. In order to achieve this, the main concepts in Pattern Recognition area are described because the AIML uses such theoretical framework in their syntactic and semantic structures. After that, AIML language is described and each AIML command/tag is followed by an application example. Also, the usage of AIML embedded tags for the handling of sequence dialogue limitations between humans and machines is shown. Finally, computer systems that assist in the design of chatterbots with the AIML language are classified and described.

cs.AI↗