TL;DR
This paper provides a detailed characterization of decomposition theory within linear algebra, offering insights into how linear structures can be broken down into simpler components.
Contribution
It introduces a new characterization of decomposition theory, enhancing understanding of linear algebraic structures and their decompositions.
Findings
New theoretical framework for decomposition in linear algebra
Clarifies conditions under which decompositions exist
Simplifies analysis of linear structures
Abstract
We give a characterization of decomposition theory in linear algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Tensor decomposition and applications · Commutative Algebra and Its Applications