Year: 2025
Type: article
Abstract: The characterization of SEP elements is a classical problem in generalized inverse theory. Most existing characterizations are formulated in terms of specific algebraic identities. This paper proposes a new approach based on polynomial equations with parameters to characterize SEP elements. This framework provides an alternative characterization and, more importantly, naturally clarifies the structural relationships between SEP elements and three other types of elements: square rootable elements, invertible elements, and involutional projection elements.
Source: Mathematics
DOI: 10.3390/math13213565
Authors: Xiaoming Li, Junchao Wei
Institution: Yangzhou University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Award: G3660190117
OpenAlex ID: W4415988704
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