Book Review: Representations of rings over skew fields
نویسندگان
چکیده
منابع مشابه
Factoring in Skew-Polynomial Rings over Finite Fields
Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; σ], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and σ: F → F is an automorphism (iterated Frobenius map). Applications include fast functional decomposition algorithms for a class of polynomials in F[x] whose decompositions are “wild” and previously...
متن کاملBlock Matrices over Skew Fields
In this paper, we give the existence and the representation of the group inverse for circulant block matrix M = ( A B B A ) (A, B ∈ Kn×n, andA = A, B = B) over skew field . Some relative additive results are also given. Mathematics Subject Classification: 47H09; 47H10
متن کاملCategory O over Skew Group Rings
We study the BGG Category O over a skew group ring, involving a finite group acting on a regular triangular algebra. We relate the representation theory of the algebra to Clifford theory for the skew group ring, and obtain results on block decomposition, semisimplicity, and enough projectives. O is also shown to be a highest weight category; the BGG Reciprocity formula is slightly different bec...
متن کاملSkew constacyclic codes over Galois rings
We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studied. As an application, skew constacyclic self-dual codes over GR(4) are constr...
متن کاملSkew Polynomial Extensions over Zip Rings
Recommended by Francois Goichot In this article, we study the relationship between left right zip property of R and skew polynomial extension over R, using the skew versions of Armendariz rings.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1988
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1988-15719-9