Finite local rings

DOI10.1216/RMJ-1973-3-4-521zbMath0289.12020MaRDI QIDQ1846901

B. R. McDonald, G. Ganske

Publication date: 1973

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (21)

A transform approach to polycyclic and serial codes over rings ⋮ On Least Common Multiples of Polynomials inZ/nZ[x] ⋮ Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes ⋮ On unit group of a finite local rings with 4-nilpotent radical of Jacobson ⋮ On the structure of repeated-root polycyclic codes over local rings ⋮ Representation stability and finite orthogonal groups ⋮ Elliptic loops ⋮ The enumeration of finite principal completely primary rings ⋮ \(n\)-dimensional quasi-cyclic codes over finite chain rings ⋮ On the nature and number of isomorphism classes of the minimal ring extensions of a finite commutative ring ⋮ MDS and self-dual codes over rings ⋮ On Isodual Cyclic Codes over Finite Chain Rings ⋮ A note on finite local rings ⋮ Polynomials over a ring that permute the matrices over that ring ⋮ Finite Rings with Applications ⋮ A minimal ring extension of a large finite local prime ring is probably ramified ⋮ Involutory matrices over finite commutative rings ⋮ Characterizing finite fields via minimal ring extensions ⋮ Repeated root constacyclic codes of length mp^s over 𝔽_p^r + u𝔽_p^r + ⋯ + u^e-1𝔽_p^r ⋮ Enumeration of finite commutative chain rings ⋮ Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from

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