When is a product of EP elements again EP?

In this paper, we give necessary and sufficient conditions for a product of EP elements to be EP, in Dedekind-finite ∗-rings. The proofs rely on descriptions of Morita contexts (via Peirce matrix forms) as corner rings of 2x2 matrix rings.

Authors

Institutions

Publication Details

Journal
Linear and Multilinear Algebra
Published
2026-01-28
DOI
https://doi.org/10.1080/03081087.2026.2620628
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

When is a product of EP elements again EP?

Pedro Patrício, Xavier Mary
Linear and Multilinear Algebra
Rings, Modules, and Algebras
article

When is a product of EP elements again EP?

Pedro Patrício, Xavier Mary
article en

Abstract

In this paper, we give necessary and sufficient conditions for a product of EP elements to be EP, in Dedekind-finite ∗-rings. The proofs rely on descriptions of Morita contexts (via Peirce matrix forms) as corner rings of 2x2 matrix rings.

Linear and Multilinear AlgebraVol. 74(3)
Université Paris Nanterre (FR), University of Minho (PT)
Reduced inequalities
Openalex Percentile: Top 69%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

When is a product of EP elements again EP? — Pedro Patrício, Xavier Mary · Linear and Multilinear Algebra (2026) | TGRS Research Map | TGRS