Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Abstract Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given.

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Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Analele Universitatii Ovidius Constanta - Seria Matematica ◽

10.2478/auom-2020-0020 ◽

2020 ◽

Vol 28 (2) ◽

pp. 67-91

Author(s):

C. A. Castillo-Guillén ◽

C. Rentería-Márquez

Keyword(s):

Residue Field ◽

Constacyclic Codes ◽

The Family ◽

Nilpotency Index

AbstractThe family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

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The Algebraic Characterization of Geometric 4-Manifolds

10.1017/cbo9780511526350 ◽

1994 ◽

Cited By ~ 14

Author(s):

J. A. Hillman

Keyword(s):

Algebraic Characterization

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Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

Mathematics ◽

10.3390/math9070728 ◽

2021 ◽

Vol 9 (7) ◽

pp. 728

Author(s):

Yasunori Maekawa ◽

Yoshihiro Ueda

Keyword(s):

Hyperbolic System ◽

Dissipative Structure ◽

Dissipative Structures ◽

Algebraic Characterization ◽

Symmetric Hyperbolic System ◽

Full Generality ◽

Order Linear ◽

First Order

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.

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An Axiomatic Characterization of a Class of Petri Nets

Fundamenta Informaticae ◽

10.3233/fi-1991-14405 ◽

1991 ◽

Vol 14 (4) ◽

pp. 477-491

Author(s):

Waldemar Korczynski

Keyword(s):

Petri Nets ◽

Petri Net ◽

Axiomatic Characterization ◽

Algebraic Characterization

In this paper an algebraic characterization of a class of Petri nets is given. The nets are characterized by a kind of algebras, which can be considered as a generalization of the concept of the case graph of a (marked) Petri net.

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