On Some Results of a Torsion-Free Abelian Trace Group

Authors

  • Ricky B. Villeta University of San Jose-Recoletos

DOI:

https://doi.org/10.32871/rmrj1402.02.10

Keywords:

Trace group, pure trace, torsion-free abelian group, direct sum, pure fully invariant

Abstract

Author Biography

Ricky B. Villeta, University of San Jose-Recoletos

graduated from Mindanao State University – Iligan Institute of Technology (MSU-IIT) with a degree of Bachelor of Science in Mathematics (Pure Mathematics) in 2003 as a fulltime scholar, City Mayor’s scholar (Iligan City) granted from having graduated in high school as class valedictorian and CHED-COE (Center of Excellence in Mathematics) scholar awarded by MSU-IIT mathematics and statistics department. He also obtained his Master of Science in Mathematics degree in 2007, with a specialization in abstract algebra (group theory) at MSU-IIT. He had served as Mathematics Lecturer from 2003 to 2005 and as graduate teaching assistant from 2005 to 2006 at the Mathematics and Statistics Department of the College of Science and Mathematics of MSU-IIT. Since 2006 to present, he is a faculty member of the Department of Mathematics and Sciences of the College of Arts and Sciences at University of San Jose – Recoletos (USJ-R), Cebu City. He has been teaching research methods, design of experiments and statistical models in the graduate school, differential equation, differential calculus, integral calculus, applied statistics in business, behavioral statistics, biostatistics, computer aided analysis, linear algebra, abstract algebra, number theory, probability theory, quantitative analysis in business, mathematical investigations and modeling, among others. He is also a trainer for basic and tertiary non-deped teachers on senior high curriculum in mathematics, statistics and probability areas in the Visayas region. His research works and interests are in abstract algebra (group theory), graph theory, differential equation, mathematical modeling and simulation, fractal statistics, data mining and theory development. He also serves as researcher and research statistician at the Center for Policy, Research and Development Studies in USJ-R.

References

[1] Arnold, David M. (1982). Lecture Notes in Mathematics. Springer – Verlag Berlin
Heidelberg, New York.

[2] Fuchs, Laszlo (1970). Infinite Abelian Groups. Academic Press Inc.. Vol. I.

[3] Fuchs, Laszlo (1973). Infinite Abelian Groups. Academic Press Inc.. Vol. II.

[4] Hungerford, Thomas W. (1974). Algebra. Springer – Verlag, New York.

[5] Krylov, P. A., Mikhalev, A. V., Tuganbaev, A. A. (2002). Properties of Endomorphism Rings of Abelian Groups I. Journal of Math. Sci. Vol. 112 No. 6.

[6] Schultz, Phill (2004). Pure Invariance in Torsion-Free Abelian Groups. Proceedings of the Auburn Algebra Conference. Oldsite. maths. uwa.edu.au / research / reports.

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Published

2014-12-11

How to Cite

Villeta, R. B. (2014). On Some Results of a Torsion-Free Abelian Trace Group. Recoletos Multidisciplinary Research Journal, 2(2). https://doi.org/10.32871/rmrj1402.02.10

Issue

Vol. 2 No. 2 (2014)

Section

Articles

License

Copyright of the Journal belongs to the University of San Jose-Recoletos

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