the [[Associative rings and algebras|associative algebra]] over $K$ whose elements are all possible fin
...nt, the group ring is often called the group algebra of the group over the ring as well.
5 KB (872 words) - 22:00, 29 April 2012
[[Cohomology ring|cohomology ring]] of a complex flag manifold $G/P$ (cf. also
[[Linear algebraic group|linear algebraic group]] and $P$ is a
3 KB (371 words) - 18:45, 30 March 2012
...commensurable with the group $G_O$ of $O$-points of $G$, where $O$ is the ring of integers of $k$. An arithmetic group $H \cap G_{\mathbb{R}}$ is a [[Disc
...m $k$ to $\mathbb{Q}$, is called an arithmetic group. In the theory of Lie groups the name arithmetic subgroups is also given to images of arithmetic subgrou
4 KB (527 words) - 20:14, 14 October 2014
$#C+1 = 33 : ~/encyclopedia/old_files/data/G044/G.0404620 Gorenstein ring
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4 KB (623 words) - 19:42, 5 June 2020
...of characteristic $p > 0$, provided with two endomorphisms $F _ { M }$ and $V _ { M }$ which satisfy the following relationships:
...Dieudonné ring) generated by $V ( k )$ and two variables $H ^ { \prime }$ and $V$ connected by the relations
4 KB (566 words) - 13:36, 17 October 2019
...1 = 73 : ~/encyclopedia/old_files/data/D033/D.0303180 Discretely\AAhnormed ring,
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5 KB (800 words) - 19:36, 5 June 2020
...all png images have been replaced by TeX code, please remove this message and the {{TEX|semi-auto}} category.
...$R$-) module (cf. also [[Associative rings and algebras|Associative rings and algebras]]; [[Module|Module]]). Then $N$ is a Whitehead test module for pro
5 KB (732 words) - 17:46, 1 July 2020
* [[characteristic of a ring]]
* [[Tsen–Lang theory]]
3 KB (362 words) - 21:05, 26 February 2021
$#C+1 = 28 : ~/encyclopedia/old_files/data/S083/S.0803470 Schur ring
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3 KB (500 words) - 18:57, 11 January 2024
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and $ q $
2 KB (346 words) - 18:45, 11 April 2023
The ''Chow ring'' of a non-singular quasi-projective algebraic variety
...n terms of intersections of cycles (cf. [[Intersection theory|Intersection theory]]).
4 KB (714 words) - 21:54, 24 April 2012
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over a ring $ R $
3 KB (439 words) - 08:09, 6 June 2020
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of a ring $ A $
6 KB (990 words) - 10:59, 29 May 2020
Galois cohomology|cohomology of finite groups|Bloch-Kato conjecture|K-theory|quadratic forms|values of zeta functions|motivic cohomology
[[Algebraic K-theory]] |
5 KB (477 words) - 23:07, 8 March 2012
=Burnside ring=
...of the) one-point set. The ''Burnside ring'' $B(G)$ is the [[Grothendieck ring]] of this semiring.
3 KB (407 words) - 14:03, 21 January 2021
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...can study the structure of the algebraic system, its representation theory and harmonic analysis on the system. A [[Representation of a topological group|
3 KB (399 words) - 22:12, 5 June 2020
...pecially useful for generalizations of the Galois theory of finite, normal and separable field extensions.
...F$ is generated by $P$ and $G$; indeed, it is the [[cross product]] of $P$ and $G$.
3 KB (470 words) - 19:10, 9 November 2016
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By the Pontryagin–Thom theorem, there is a ring spectrum $ MU $(
4 KB (633 words) - 08:47, 26 March 2023
Assertions on the invariance of the groups $ K _{i} (R) $
or their subgroups, given certain special extensions of the ground ring $ R $(
7 KB (972 words) - 19:10, 5 April 2023
''of degree (order) $\def\SL{\textrm{SL}}\def\GL{\textrm{GL}} n$ over a ring $R$''
...tance here: the ordinary determinant in the case when $R$ is a commutative ring, the non-commutative Dieudonné determinant (cf.
6 KB (988 words) - 22:16, 10 January 2015