Celino José Martins Miguel

Celino Miguel

Academic position:	Assistant Professor
Joining date:	11-01-2006
Roles in IT:	Researcher
Thematic Line:	Basic Sciences and Enabling Technologies
Group:	Applied Mathematics – Cv

Email: Send Email
Address: IT Branch – Covilhã
Faculdade de Engenharia
Covilhã
6201-001
Tel: 275329953

https://www.orcid.org/0000-0002-6857-3521

By Authors
By Institutions

Scientific Achievements

Degrees

PhD, Instituto de Telecomunicações, 01-01-2007

Expertise Topics

Applied Linear Algebra and Coding Theory
Commutative Algebra
Algebraic Number Theory

Academic Activities

1Supervision of PhD theses

As Supervisor

Identidades do tipo Menon relaticas a subconjuntos de unidades, PhD Student, Abrantes Malaquias Belo Caiúve, Defended 10-2023

Publications

14Papers in Journals

C. Miguel, Lengths of cyclic algebras and commutative subalgebras of quaternion matrices, Linear Algebra and Its Applications, Vol. 628, No. 1, pp. 130 - 139, November, 2021 | BibTex
C. Miguel, A. C. Caiúve, Menon-type identities with respect to sets of units, Ramanujan Journal, Vol. 55, No. 3, pp. 817 - 822, May, 2021 | BibTex
C. Miguel, Generalized quaternion rings over Z/nZ for an odd n, Advances in Applied Clifford Algebras, Vol. 28, No. 1, pp. 1 - 14, March, 2018,
| Abstract | BibTex
C. Miguel, Cesàro’s formula in number fields, Journal of Number Theory, Vol. 180, No. 1, pp. 606 - 614, November, 2017,
| Abstract | BibTex
C. Miguel, J. Grau, A. Oller-Marcén, On the Zero Divisor Graphs of the Ring of Lipschitz Integers Modulo n, Advances in Applied Clifford Algebras, Vol. 27, No. 2, pp. 1191 - 1202, May, 2017,
| Abstract | BibTex
C. Miguel, On the diameter of the commuting graph of the matrix ring over a centrally finite division ring, Linear Algebra and Its Applications, Vol. 509, No. 509, pp. 276 - 285, November, 2016,
| Abstract | BibTex
C. Miguel, A Menon-type identity in residually finite Dedekind domains, Journal of Number Theory, Vol. 164, No. 164, pp. 43 - 51, July, 2016 | BibTex
J. Grau, C. Miguel, A. Oller-Marcén, On the Structure of Quaternion Rings over Z/nZ, Advances in Applied Clifford Algebras, Vol. 25, No. 4, pp. 875 - 887, November, 2015 | BibTex
C. Miguel, Menon's identity in residually finite Dedekind domains, Journal of Number Theory, Vol. 137, No. 137, pp. 179 - 185, January, 2014,
| Abstract | BibTex
C. Miguel, Balanced zero-divisor graphs of matrix rings., Lobachevskii Journal of Mathematics, Vol. 34, No. 2, pp. 137 - 141, April, 2013,
| Abstract | BibTex
C. Miguel, A note on a conjecture about commuting graphs, Linear Algebra and Its Applications, Vol. 438, No. 12, pp. 4750 - 4756, March, 2013,
| Abstract | BibTex
C. Miguel, On the structure of quaternion rings over Z_p, INTERNATIONAL JOURNAL OF ALGEBRA, Vol. 5, No. 25-28, pp. 1313 - 1325, June, 2011 | BibTex
C. Miguel, A matricial perspective of Wedderburn's little theorem, INTERNATIONAL JOURNAL OF ALGEBRA, Vol. 5, No. 25-28, pp. 1305 - 1311, June, 2011 | BibTex
E. Pereira, C. Miguel, Fundamentals for a Block Linear Algebra, Journal of Appl. Algebra and Discrete Structures, Vol. 5(2007), No. 2, pp. 71 - 91, July, 2007 | BibTex

2Papers in Conferences

C. Miguel, A Note on a Conjecture about Commuting Graphs, Joint ALAMA-GAMM/ANLA, Barcelona, Spain, Vol. I, pp. 48 - 48, July, 2014,
| Abstract | BibTex
C. Miguel, R. Serõdio Serôdio, On quaternion rings over the field Z_p, DMUC Encontro de Algebristas Portugueses, covilhã, Portugal, Vol. VIII, pp. 117 - 125, September, 2010 | BibTex