The generic rank for $A$--plannar structures
Jaroslav Hrdina
TL;DR
This paper reviews the concept of generic rank in A-modules within differential geometry, focusing on A-structures where A is a unital associative algebra, including detailed examples and applications.
Contribution
It provides a comprehensive collection of results on the generic rank of A-modules, especially for A-structures with non-invertible algebras, with detailed case studies.
Findings
Analysis of generic rank in A-structures
Examples with non-invertible algebras
Applications in differential geometry
Abstract
The paper mostly collects material on generic rank of --modules with respect to differential geometric applications. Our research was motivated by geometry of --structures. In particular, we discuss the case where is an unitary associative algebra not necessary with inversion. Some of the examples are studied in detail.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models