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Multipolynomials: An Almost Symmetrical Approach
Results in Mathematics ( IF 1.1 ) Pub Date : 2021-07-15 , DOI: 10.1007/s00025-021-01463-w
Joilson Ribeiro 1 , Djavan Santos 1 , Fabrício Santos 1
Affiliation  

In this paper, we explore a new concept of simmetry multilinear mappings and introduce a new approach to the concept of multipolynomials. We generalize several results of homogeneous polynomials and symmetric multilinear mappings, such the classic Polarization Formula. We also present a concept of coherence and compatibility for sequences of pairs formed by multipolynomial ideals and multi-ideals. Then, we move on to a more practical analysis, using different classes of multilinear mappings and homogeneous polynomials to check the limits of these definitions.



中文翻译:

多项式:一种几乎对称的方法

在本文中,我们探索了对称多重线性映射的新概念,并介绍了多项式概念的新方法。我们概括了齐次多项式和对称多重线性映射的几个结果,例如经典的极化公式。我们还提出了由多项式理想和多理想形成的对序列的相干性和兼容性概念。然后,我们继续进行更实际的分析,使用不同类别的多线性映射和齐次多项式来检查这些定义的限制。

更新日期:2021-07-15
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