Involutory matrices over finite commutative rings

DOI10.1016/0024-3795(78)90041-1zbMath0402.15007OpenAlexW1993165355MaRDI QIDQ1255544

R. O. Gamble, Joel V. Brawley

Publication date: 1978

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90041-1

zbMATH Keywords

Involutory Matrices over Finite Commutative Rings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite fields and commutative rings (number-theoretic aspects) (11T99)

Related Items

Extensions of the Levine-Nahikian method for constructing involutory matrices, Finite Rings with Applications, The hulls of matrix-product codes over commutative rings and applications, Finite p-groups with a minimal non-abelian subgroup of index p (V), Similarity of matrices over a commutative Artinian local ring

Cites Work

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• Finite local rings
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• Certain matrix equations over rings of integers
• Similar involutory matrices modulo R
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• Equivalence classes of involutory mappings
• Symmetric involutions over fields of characteristic 2
• Stochastic involutions over a finite field
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• On Involutory Matrices
• The Matrix Equation X 2 - I = 0 Over a Finite Field
• On the Construction of Involutory Matrices
• Involutory Matrices Over Finite Local Rings
• Similar Involutory Matrices (mod p m )
• Idempotent Matrices (mod p a )
• The Matrix Congruence X 2 ≡I (mod p a )