Results 21 to 30 of about 30,150 (231)
The Intrinsic Fundamental Group of a Linear Category [PDF]
, 2010 We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings.
Andrea Solotar +24 more
core +8 more sources
On Azumaya Galois extensions and skew group rings
International Journal of Mathematics and Mathematical Sciences, 1999 Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
doaj +1 more source
On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results [PDF]
, 2015 Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a rational prime and let r be a non-positive integer. By examining the structure of the p-adic group ring Z_p[G], we prove many new cases of the p-part of the equivariant
Johnston, Henri, Nickel, Andreas
core +2 more sources
On central commutator Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
doaj +1 more source
Some Constacyclic Codes over Finite Chain Rings [PDF]
, 2012 For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha +2 more
core +1 more source
The Galois algebras and the Azumay Galois extensions
International Journal of Mathematics and Mathematical Sciences, 2002 Let B be a Galois algebra over a commutative ring R with Galois group G, C the center of B, K={g∈G|g(c)=c for all c∈C}, Jg{b∈B|bx=g(x)b for all x∈B} for each g∈K, and BK=(⊕∑g∈K Jg). Then BK is a central weakly Galois algebra with Galois group induced by
George Szeto, Lianyong Xue
doaj +1 more source
Local epsilon isomorphisms [PDF]
, 2013 In this paper, we prove the "local epsilon-isomorphism conjecture" of Fukaya and Kato for a particular class of Galois modules obtained by tensoring a Zp-lattice in a crystalline representation of the Galois group of Qp with a representation of an ...
David Loeffler +3 more
core +1 more source
Galois actions on rings and finite Galois coverings.
MATHEMATICA SCANDINAVICA, 1989 This paper is devoted to developing a general finite Galois theory for rings which when specialized to finite dimensional algebras over an algebraically closed field gives the Bongartz, Gabriel and Riedtmann theory of finite Galois coverings and when specialized to commutative rings gives the usual Galois theory of commutative rings.
Auslander, M., Reiten, I., Smalo, S.O.
openaire +3 more sources
On a notion of “Galois closure” for extensions of rings [PDF]
Journal of the European Mathematical Society, 2014 We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an S_n degree n
Bhargava, Manjul, Satriano, Matthew
openaire +3 more sources
Skew group rings which are Galois
International Journal of Mathematics and Mathematical Sciences, 2000 Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
doaj +1 more source