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- Lazard's_universal_ring abstract "In mathematics, Lazard's universal ring is a ring introduced by Michel Lazard in Lazard (1955) over which the universal commutative one-dimensional formal group law is defined.There is a universal commutative one-dimensional formal group law over a universal commutative ring defined as follows. We let F(x, y)be x + y + Σci,j xiyjfor indeterminates ci,j,and we define the universal ring R to be the commutative ring generated by the elements ci,j, with the relations that are forced by the associativity and commutativity laws for formal group laws. More or less by definition, the ring R has the following universal property:For any commutative ring S, one dimensional formal group laws over S correspond to ring homomorphisms from R to S.The commutative ring R constructed above is known as Lazard's universal ring. At first sight it seems to be incredibly complicated: the relations between its generators are very messy. However Lazard proved that it has a very simple structure: it is just a polynomial ring (over the integers) on generators of degrees 2, 4, 6, … (where ci,j has degree 2(i + j − 1)). Quillen (1969) proved that the coefficient ring of complex cobordism is naturally isomorphic as a graded ring to Lazard's universal ring.".
- Lazard's_universal_ring wikiPageExternalLink books?id=6vG13YQcPnYC.
- Lazard's_universal_ring wikiPageExternalLink item?id=BSMF_1955__83__251_0.
- Lazard's_universal_ring wikiPageID "13949634".
- Lazard's_universal_ring wikiPageRevisionID "590866757".
- Lazard's_universal_ring hasPhotoCollection Lazard's_universal_ring.
- Lazard's_universal_ring subject Category:Algebraic_groups.
- Lazard's_universal_ring subject Category:Algebraic_number_theory.
- Lazard's_universal_ring subject Category:Algebraic_topology.
- Lazard's_universal_ring type Abstraction100002137.
- Lazard's_universal_ring type AlgebraicGroups.
- Lazard's_universal_ring type Group100031264.
- Lazard's_universal_ring comment "In mathematics, Lazard's universal ring is a ring introduced by Michel Lazard in Lazard (1955) over which the universal commutative one-dimensional formal group law is defined.There is a universal commutative one-dimensional formal group law over a universal commutative ring defined as follows.".
- Lazard's_universal_ring label "Lazard's universal ring".
- Lazard's_universal_ring sameAs m.0gk_rnl.
- Lazard's_universal_ring sameAs Q6505810.
- Lazard's_universal_ring sameAs Q6505810.
- Lazard's_universal_ring sameAs Lazard's_universal_ring.
- Lazard's_universal_ring wasDerivedFrom Lazard's_universal_ring?oldid=590866757.
- Lazard's_universal_ring isPrimaryTopicOf Lazard's_universal_ring.