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Advances in Applied Clifford Algebras
H-index 8

Advances in Applied Clifford Algebras

0188-7009

Published by: Springer

https://www.springer.com/journal/6

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 471 9 18 6

Additional Metrics

Number of Best Scientists*: 18
Documents by Best Scientists*: 32
Top 100 Ranked Scientists*: 1
SCIMAGO H-index: 36
SCIMAGO SJR: 0.636
Impact Factor: 1.2

Overview

Top Research Topics at Advances in Applied Clifford Algebras?

Advances in Applied Clifford Algebras generally zeroes in on subjects such as Pure mathematics, Algebra, Clifford algebra, Mathematical analysis and Quaternion. In particular, the Pure mathematics works presented emphasize discussions on Clifford analysis. Clifford analysis research discussed in Advances in Applied Clifford Algebras aim to provide more information in the subject of Dirac operator.

Algebra research presented in it encompasses a variety of subjects, including Geometric algebra, Filtered algebra, Algebra representation and Universal geometric algebra. The study on Geometric algebra presented in the journal intersects with subjects under the field of Multivector. The Clifford algebra works featured in it incorporate elements from Spinor, Classification of Clifford algebras, Combinatorics and Clifford bundle.

The research on Mathematical analysis tackled can also make contributions to studies in the areas of Minkowski space and Mathematical physics. More specifically, the research on Mathematical physics in Advances in Applied Clifford Algebras is related to Dirac equation. The work on Quaternion addressed in Advances in Applied Clifford Algebras expands to the thematically related Matrix (mathematics).

  • Pure mathematics (38.39%)
  • Algebra (25.79%)
  • Clifford algebra (25.57%)

What are the most cited papers published in the journal?

  • Quaternion Fourier Transform on Quaternion Fields and Generalizations (167 citations)
  • On Fibonacci Quaternions (118 citations)
  • ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration (109 citations)

Research areas of the most cited articles at Advances in Applied Clifford Algebras:

The journal publications tackle a plethora of topics, such as Algebra, Pure mathematics, Quaternion, Clifford algebra and Mathematical analysis. In addition to Pure mathematics research, the most cited articles aim to explore topics under Matrix (mathematics), Hypercomplex number and Harmonic (mathematics). While Clifford algebra is the key highlight in the journal papers, thet also covered some subjects on Classification of Clifford algebras and Clifford bundle.

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

The previous edition focused in particular on these issues:

Pure mathematics, Clifford algebra, Quaternion, Clifford analysis and Combinatorics are the subjects of interest in Advances in Applied Clifford Algebras. Some problems in Pure mathematics that were presented in Advances in Applied Clifford Algebras overlapped with concepts under Space (mathematics), Ternary operation and Product (mathematics). Topics in Clifford algebra were tackled in line with various other fields like Fiber bundle, Basis (universal algebra), Group (mathematics), Algebra and Hypercomplex analysis.

Research on Algebra addressed in it frequently intersections with the field of Generalization. It deals with Quaternion in conjunction with Inverse and similar fields in Matrix (mathematics). The studies on Clifford analysis discussed can also contribute to research in the domains of Several complex variables and Euclidean geometry.

The most cited articles from the last journal are:

  • Geometric Algebra of Singular Ruled Surfaces (7 citations)
  • On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics (6 citations)
  • Generalized Derivations and Rota-Baxter Operators of $$ arvec{n}$$ n -ary Hom-Nambu Superalgebras (5 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Advances in Applied Clifford Algebras (based on the number of publications) are:

  • Eckhard Hitzer (33 papers) absent at the last edition,
  • Franciscus Sommen (23 papers) absent at the last edition,
  • Gaston Casanova (20 papers) absent at the last edition,
  • Jacques Helmstetter (19 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Waldyr A. Rodrigues (19 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Advances in Applied Clifford Algebras (based on the number of publications) are:

  • Ghent University (36 papers) absent at the last edition,
  • University of Aveiro (32 papers) published 1 paper at the last edition the same number as at the previous edition,
  • National Autonomous University of Mexico (29 papers) absent at the last edition,
  • State University of Campinas (25 papers) absent at the last edition,
  • Charles University in Prague (22 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 12.16% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 6.15% were posted by at least one author from the top 10 institutions publishing in the journal. Another 4.62% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.92% of all publications and 72.31% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Generalized Derivations and Rota-Baxter Operators of $$ arvec{n}$$ n -ary Hom-Nambu Superalgebras

    Sami Mabrouk;Othmen Ncib;Sergei Silvestrov

    (2021)
    22 Citations
  • 3-Hom-Lie Algebras Based on $$\sigma $$σ -Derivation and Involution

    Viktor Abramov;Sergei Silvestrov

    (2020)
    21 Citations
  • MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations

    (2022)
    9 Citations
  • Solvability of New Constrained Quaternion Matrix Approximation Problems Based on Core-EP Inverses

    Ivan Kyrchei;Dijana Mosić;Predrag S. Stanimirović

    (2021)
    9 Citations
  • An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators

    Fabrizio Colombo;Jonathan Gantner;Stefano Pinton

    (2021)
    9 Citations
  • An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

    (2021)
    7 Citations
  • Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories

    (2024)
    6 Citations
  • A New Approach to Slice Analysis Via Slice Topology

    Xinyuan Dou;Ming Jin;Guangbin Ren;Irene Sabadini

    (2021)
    5 Citations
  • Weighted Minimization Problems for Quaternion Matrices

    Ivan I. Kyrchei;Dijana Mosić;Predrag S. Stanimirović

    (2021)
    5 Citations
  • Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings

    (2023)
    4 Citations

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