Abstract
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.
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We thank the anonymous referee for her/his careful reading of the manuscript and for the suggestions that improved the final presentation of the paper.
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Djavan Santos: Supported by CAPES scholarship. Fabrício Santos: Supported by CAPES Doctoral scholarship.
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Ribeiro, J., Santos, D. & Santos, F. Multipolynomials: An Almost Symmetrical Approach. Results Math 76, 159 (2021). https://doi.org/10.1007/s00025-021-01463-w
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DOI: https://doi.org/10.1007/s00025-021-01463-w