Generalized Jordan forms of matrices over division rings-Reference-Cited by-同舟云学术

Generalized Jordan forms of matrices over division rings

Published:2023-09-30 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bien M. H.¹²^ORCID,Ramezan-Nassab M.³⁴^ORCID,Son T. N.¹²^ORCID,Truong L. Q.¹²^ORCID

Affiliation:

1. Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam

2. Vietnam National University, Ho Chi Minh City, Vietnam

3. Department of Mathematics, Kharazmi University, 50 Taleghani Street, Tehran, Iran, School of Mathematics

4. Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran

Abstract

Let [Formula: see text] be a division ring that is algebraic over its center [Formula: see text]. The aim of this paper is to describe certain classes of triangular matrices over [Formula: see text] that are similar to generalized Jordan forms, namely: (1) the class of finite triangular matrices, and (2) the class of infinite triangular matrices whose all diagonal entries, except possibly finitely many, belong to [Formula: see text].

Funder

University of Science, VNUHCM

IPM

Master, PhD Scholarship Programme of Vingroup Innovation Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498825500410

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