Innovative Research Award

Claudemir Fideles Bezerra Junior
UNICAMP, Brazil

Claudemir Fideles Bezerra Junior
Affiliation UNICAMP
Country Brazil
Scopus ID 57196086077
Documents 24
Citations 49
h-index 4
Subject Area Algebra
Event Math Scientist Awards
ORCID 0000-0001-5107-5342

The Innovative Research Award recognition highlights the scholarly contributions of Claudemir Fideles Bezerra Junior, a researcher affiliated with UNICAMP whose work is situated primarily within Algebra and related areas of graded algebraic structures. His publication record includes investigations of graded identities, Lie algebras, Grassmann algebras, Jordan algebras, and Leibniz algebras, demonstrating a sustained engagement with contemporary problems in abstract algebra and polynomial identity theory.[1] The body of research reflects both theoretical rigor and methodological consistency, contributing to the broader mathematical understanding of algebraic gradings and structural identities.[2]

Abstract

This article summarizes the academic profile and research achievements of Claudemir Fideles Bezerra Junior in the field of Algebra. His work focuses on graded structures, polynomial identities, central polynomials, and algebraic systems over finite and infinite fields. Through publications in recognized international journals, he has contributed to the advancement of theoretical algebra while supporting the mathematical framework necessary for ongoing investigations in algebraic structures and their applications.[3]

Keywords

Algebra, Graded Identities, Grassmann Algebra, Jordan Algebra, Lie Algebra, Leibniz Algebra, Polynomial Identities, Mathematical Research, Abstract Algebra, Finite Fields.

Introduction

Modern algebra continues to explore the structural properties of mathematical systems through identities, gradings, and symmetries. Within this context, Claudemir Fideles Bezerra Junior has developed a research portfolio centered on graded algebras and related theoretical frameworks. His studies address foundational questions regarding algebraic identities and their behavior under different grading schemes, contributing to an area of mathematics that remains active and internationally relevant.[2]

Research Profile

According to available scholarly indexing records, the researcher has produced multiple peer-reviewed publications and accumulated measurable scholarly citations. His research activity is concentrated in algebraic theory, particularly the study of graded identities and algebraic classifications. The publication trajectory demonstrates continued engagement with recognized mathematical journals and specialized research communities.[1]

Research Contributions

  • Investigation of graded identities in Jordan algebras over finite fields.
  • Research on gradings and graded identities of null-filiform Leibniz algebras.
  • Analysis of ℤ-gradings on Grassmann algebras and associated central polynomials.
  • Studies concerning graded identities in Lie algebras and related algebraic structures.
  • Contributions linking algebraic gradings with concepts from elementary number theory.

Publications

  • Graded identities for the Jordan algebra of the symmetric matrices of order two over finite fields (2026).
  • Gradings and graded identities of null-filiform Leibniz algebras (2026).
  • ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials (2023).
  • Z-graded identities of the Lie algebras U1 (2023).
  • A note on gradings on the Grassmann algebra and elementary number theory (2023).

Research Impact

The available bibliometric indicators report 24 indexed documents, 49 citations, and an h-index of 4. These metrics suggest active participation in the scholarly discourse surrounding algebraic research. Beyond numerical indicators, the significance of the work lies in its contribution to the mathematical understanding of graded structures, identities, and algebraic classifications that form important foundations for theoretical investigations.[1]

Award Suitability

The Innovative Research Award recognizes meaningful scholarly advancement and sustained research engagement. Claudemir Fideles Bezerra Junior’s publication record, concentration on advanced algebraic theory, and contributions to graded identities and related mathematical structures align with the objectives of recognizing innovative academic inquiry. His work demonstrates originality within a specialized research domain while maintaining relevance to ongoing developments in abstract algebra.[4]

Conclusion

Claudemir Fideles Bezerra Junior has established a focused research profile within Algebra through studies of graded identities, Grassmann algebras, Jordan algebras, and related mathematical structures. His publications contribute to theoretical understanding within the discipline and reflect a consistent commitment to scholarly research. The academic record presented here provides a basis for recognition within the framework of the Math Scientist Awards.[5]

References

  1. Elsevier. (n.d.). Scopus author details: Claudemir Fideles Bezerra Junior, Author ID 57196086077. Scopus.
    https://www.scopus.com/authid/detail.uri?authorId=57196086077
  2. Journal of Algebra. (2023). Z-graded identities of the Lie algebras U1.
    https://doi.org/10.1016/j.jalgebra.2023.06.042
  3. International Journal of Algebra and Computation. (2023). ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials.
    https://doi.org/10.1142/S0218196723500650
  4. Linear Algebra and its Applications. (2026). Gradings and graded identities of null-filiform Leibniz algebras.
    https://doi.org/10.1016/j.laa.2025.11.003
  5. Finite Fields and Their Applications. (2026). Graded identities for the Jordan algebra of the symmetric matrices of order two over finite fields.
    https://doi.org/10.1016/j.ffa.2026.102826
  6. Linear and Multilinear Algebra. (2023). A note on gradings on the Grassmann algebra and elementary number theory.
    https://doi.org/10.1080/03081087.2022.2059433
Claudemir Fideles Bezerra Junior | Algebra | Innovative Research Award

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