Results 21 to 30 of about 109,686 (120)
On the structure of double complexes
Journal of the London Mathematical Society, Volume 104, Issue 2, Page 956-988, September 2021., 2021 Abstract We study consequences and applications of the folklore statement that every double complex over a field decomposes into so‐called squares and zigzags. This result makes questions about the associated cohomology groups and spectral sequences easy to understand.
Jonas Stelzig
wiley +1 more source
Some torsion classes in the Chow ring and cohomology of BPGLn
Journal of the London Mathematical Society, Volume 103, Issue 1, Page 127-160, January 2021., 2021 Abstract In the integral cohomology ring of the classifying space of the projective linear group PGLn (over C), we find a collection of p‐torsion classes yp,k of degree 2(pk+1+1) for any odd prime divisor p of n, and k⩾0. If, in addition, p2∤n, there are p‐torsion classes ρp,k of degree pk+1+1 in the Chow ring of the classifying stack of PGLn, such ...
Xing Gu
wiley +1 more source
Structure theorems of H4-Azumaya algebras [PDF]
, 2006 Let k be a field and H4 be Sweedler's 4-dimensional algebra over k. It is well known that H4 has a family of triangular structures Rt indexed by the ground field k and each triangular structure Rt makes the H4-module category MH4 a braided monoidal ...
Chen, Hui-Xiang +2 more
core +1 more source
Separable subalgebras of a class of Azumaya algebras
International Journal of Mathematics and Mathematical Sciences, 1998 Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
doaj +1 more source
Motives of Azumaya algebras [PDF]
Journal of the Institute of Mathematics of Jussieu, 2010 AbstractWe study the slice filtration for theK-theory of a sheaf of Azumaya algebrasA, and for the motive of a Severi-Brauer variety, the latter in the case of a central simple algebra of prime degree over a field. Using the Beilinson–Lichtenbaum conjecture, we apply our results to show the vanishing ofSK2(A) for a central simple algebraAof square-free
Kahn, Bruno, Levine, Marc
openaire +2 more sources
Decomposition of topological Azumaya algebras in the stable range
, 2021 In this thesis, we establish decomposition theorems for topological Azumaya algebras, and topological Azumaya algebras with involutions of the first kind.
Arcila Maya, Niny Johanna
core +1 more source
On separable abelian extensions of rings
International Journal of Mathematics and Mathematical Sciences, 1982 Let R be a ring with 1, G(=〈ρ1〉×…×〈ρm〉) a finite abelian automorphism group of R of order n where 〈ρi〉 is cyclic of order ni. for some integers n, ni, and m, and C the center of R whose automorphism group induced by G is isomorphic with G.
George Szeto
doaj +1 more source
On free ring extensions of degree n
International Journal of Mathematics and Mathematical Sciences, 1981 Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis.
George Szeto
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Моделирование и анализ информационных систем, 2016 Let V be a smooth projective variety over a global field k = κ(C) of rational functions on a smooth projective curve C over a finite field Fq of characteristic p.
T. V. Prokhorova
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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