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...r1=Friedlander, Eric |editor2=Grayson, Daniel |chapter=Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry}}</ref> ...year=1972|pages=552–586}}</ref> showing in particular that they are finite groups. ...

...erality by {{harvtxt|Kerz|Strunk|Tamme|2018}} using methods from [[derived algebraic geometry]]. ...ic geometry)|scheme]] ''X'' of finite [[Krull dimension]] ''d'', the ''K''-groups vanish in degrees <&nbsp;&minus;''d'': ...

In mathematics, an '''algebraic representation''' of a [[group (mathematics)|group]] ''G'' on a [[algebra o ...ons|representation put on]] the [[tensor algebra]] <math>T(A)</math> is an algebraic representation of ''G''. ...

...[[algebraic group]] <math>G</math> over a field <math>K</math> is another algebraic group <math>H</math> such that there exists an isomorphism <math>\phi</math ...r is an equivalence relation on the set of <math>K</math>-forms of a given algebraic group. ...

...3</math>, <math>\pi_i(X; G)</math> is a [[group (mathematics)|group]]. The groups <math>\pi_i(X; \Z)</math> are the usual [[homotopy group]]s of ''X''. ....math.rutgers.edu/~weibel/Kbook.html|title= The K-book: An introduction to algebraic K-theory|year=2013}} ...

...rn}} is a mathematician specializing in the [[representation theory]] of [[algebraic group]]s. She is a professor of mathematics at the [[École Polytechnique Fé ...egon]] in 1985. Her dissertation, ''Certain Embeddings of Simple Algebraic Groups'', was supervised by [[Gary Seitz]].{{r|mg}} As a faculty member at [[Wesle ...

{{DISPLAYTITLE:Fundamental theorem of algebraic ''K''-theory}} {{short description|On the effects of changing the ring of ''K''-groups}} ...

{{short description|Result in algebraic K-theory relating Chow groups to cohomology}} In [[algebraic K-theory]], a branch of [[mathematics]], '''Bloch's formula''', introduced ...

{{Short description|Manifold with the same rational homotopy groups as a sphere}} ...ing [[Torsion (algebra)|torsion]] in comparison to the (integral) homotopy groups of the space. ...

In [[algebraic topology]], a branch of [[mathematics]], a '''simple space''' is a [[connec === Topological groups === ...

{{algebraic-geometry-stub}} [[Category:Algebraic groups]] ...

<math>xx^{-1}=x^{-1}x</math>. Examples of Clifford semigroups are groups and commutative inverse semigroups. ...ebraic-characterizations-of-inverse-semigroups-and-strongly-regular-rings/ Algebraic characterizations of inverse semigroups and strongly regular rings] theorem ...

{{Short description|Manifold with the same rational homology groups as a sphere}} ...ing [[Torsion (algebra)|torsion]] in comparison to the (integral) homology groups of the space. ...

...rems asserting that the [[group cohomology|group homology]] of a series of groups <math>G_1 \subset G_2 \subset \cdots </math> is stable, i.e., ...of the groups ''K''_''i'' of rings of algebraic integers.|title=Algebraic K-theory, I: Higher K-theories|pages=179–198|series=Lecture Notes in Math.| ...

...|first=Spencer |date=2006-07-23 |title=Algebraic Cycles and Additive Chow Groups |url=http://www.math.uchicago.edu/~bloch/addchow_rept.pdf |publisher=Dept. The additive K-functors are related to [[cyclic homology]] groups by the isomorphism ...

...o <math>\mathbb{R}^{2n}</math> for some ''n'', but is not isomorphic as an algebraic variety to <math>\mathbb{C}^n</math>.<ref>{{citation ...: Proceedings of the Conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory Held at the Erwin Schrödinger Institute, Vienna ...

...finitely generated over <math>\mathbb{Q}</math>, in terms of decomposition groups of rational points of <math>X</math>. The conjecture was introduced by {{ha [[Category:Algebraic geometry]] ...

...escription|Algebraic number fields are determined by their absolute Galois groups}} ...atics]], the '''Neukirch–Uchida theorem''' shows that all problems about [[algebraic number field]]s can be reduced to problems about their [[absolute Galois gr ...

...eory|chromatic]] approach to the [[stable homotopy theory]], a branch of [[algebraic topology]]. == Moduli stack of ''p''-divisible groups == ...

{{Short description|Element of algebraic structure}} In [[mathematics]], a '''Garside element''' is an element of an [[algebraic structure]] such as a [[monoid]] that has several desirable properties. ...