Finite Free Complexes over Polynomial Rings
نویسندگان
چکیده
منابع مشابه
Codes over finite quotients of polynomial rings
Codes over finite quotient of polynomial rings
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Let R be a ring. Let σ be an automorphism of R. We define a σ-divided ring and prove the following. (1) Let R be a commutative pseudovaluation ring such that x ∈ P for any P ∈ Spec(R[x,σ]) . Then R[x,σ] is also a pseudovaluation ring. (2) Let R be a σ-divided ring such that x ∈ P for any P ∈ Spec(R[x,σ]). Then R[x,σ] is also a σ-divided ring. Let now R be a commutative Noetherian Q-algebra (Q i...
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Let A = F[x] 〈f(x)〉 , where f(x) is a monic polynomial over a finite field F. In this paper, we study the relation between A-codes and their duals. In particular, we state a counterexample and a correction to a theorem of Berger and El Amrani (Codes over finite quotients of polynomial rings, Finite Fields Appl. 25 (2014), 165–181) and present an efficient algorithm to find a system of generator...
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Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( . The Gray map is said to be a ( )-Gray map if the image of any -constacyclic code over is a -constacyclic code over the field . In this paper we investigate the existence of ( )-Gray maps over . In this direction, we find an equivalent ...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2018
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti1728