The Weyr Characteristic of the Inverse, the Adjoint and the Orthogonal of a Linear Relation

Key Points

• The research aims to generalize the Weyr characteristic to linear relations and calculate it for the inverse, adjoint, and orthogonal complement.
• Definition of Weyr characteristic in the context of linear relations
• Calculation of Weyr characteristics for the inverse, adjoint, and orthogonal of linear relations
• Comparative analysis of different types of linearly independent chains
• Weyr characteristics consist of three finite sequences for linear relations
• Specific calculations were made for inverses, adjoints, and orthogonal complements
• Findings show distinct patterns in how these transformations affect the Weyr characteristic