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Analysis of institutional authors

Tirado Hernández MdlpCorresponding Author

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On the bracket of integrable derivations

Publicated to:JOURNAL OF ALGEBRA. 574 70-91 - 2021-05-15 574(), DOI: 10.1016/j.jalgebra.2021.01.014

Authors: Narváez Macarro L; Tirado Hernández MdlP

Affiliations

Univ Seville, Dept Algebra, Fac Matemat, Calle Tarfia S-N, E-41012 Seville, Spain - Author
Univ Seville, Inst Matemat IMUS, Fac Matemat, Calle Tarfia S-N, E-41012 Seville, Spain - Author

Abstract

We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse–Schmidt derivations. As a consequence we prove that the bracket of two m-integrable derivations is also m-integrable, for m a positive integer or infinity.

Keywords

Differential operatorHasse–schmidt derivationIntegrable derivationSubstitution map

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF ALGEBRA due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Algebra and Number Theory.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-27:

  • Scopus: 1

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-27:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 2.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.25.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

Leadership analysis of institutional authors

the author responsible for correspondence tasks has been TIRADO HERNANDEZ, MARIA DE LA PAZ.