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- Exp_algebra abstract "In mathematics, an exp algebra is a Hopf algebra Exp(G) constructed from an abelian group G, and is the universal ring R such that there is an exponential map from G to the group of the power series in R[[t]] with constant term 1. In other words the functor Exp from abelian groups to commutative rings is adjoint to the functor from commutative rings to abelian groups taking a ring to the group of formal power series with constant term 1. The definition of the exp ring of G is similar to that of the group ring Z[G] of G, which is the universal ring such that there is an exponential homomorphism from the group to its units. In particular there is a natural homomorphism from the group ring to a completion of the exp ring. However in general the Exp ring can be much larger than the group ring: for example, the group ring of the integers is the ring of Laurent polynomials in 1 variable, while the exp ring is a polynomial ring in countably many generators.".
- Exp_algebra wikiPageID "42475707".
- Exp_algebra wikiPageLength "3462".
- Exp_algebra wikiPageOutDegree "12".
- Exp_algebra wikiPageRevisionID "642061505".
- Exp_algebra wikiPageWikiLink Category:Hopf_algebras.
- Exp_algebra wikiPageWikiLink Coproduct.
- Exp_algebra wikiPageWikiLink Group_ring.
- Exp_algebra wikiPageWikiLink Hopf_algebra.
- Exp_algebra wikiPageWikiLink Laurent_polynomial.
- Exp_algebra wikiPageWikiLink Ring_(mathematics).
- Exp_algebra wikiPageWikiLink Ring_of_symmetric_functions.
- Exp_algebra wikiPageWikiLink Universal_property.
- Exp_algebra wikiPageWikiLink Λ-ring.
- Exp_algebra wikiPageWikiLink nowiki%3Et%3Cnowiki%3E.
- Exp_algebra wikiPageWikiLinkText "exp algebra".
- Exp_algebra first "Michiel".
- Exp_algebra first "Nadiya".
- Exp_algebra first "V. V.".
- Exp_algebra isbn "978".
- Exp_algebra last "Gubareni".
- Exp_algebra last "Hazewinkel".
- Exp_algebra last "Kirichenko".
- Exp_algebra mr "2724822".
- Exp_algebra place "Providence, RI".
- Exp_algebra publisher "American Mathematical Society".
- Exp_algebra series "Mathematical Surveys and Monographs".
- Exp_algebra title "Algebras, rings and modules. Lie algebras and Hopf algebras".
- Exp_algebra volume "168".
- Exp_algebra wikiPageUsesTemplate Template:Citation.
- Exp_algebra wikiPageUsesTemplate Template:Harvs.
- Exp_algebra wikiPageUsesTemplate Template:Harvtxt.
- Exp_algebra year "2010".
- Exp_algebra zbl "1211.16023".
- Exp_algebra subject Category:Hopf_algebras.
- Exp_algebra hypernym Exp.
- Exp_algebra comment "In mathematics, an exp algebra is a Hopf algebra Exp(G) constructed from an abelian group G, and is the universal ring R such that there is an exponential map from G to the group of the power series in R[[t]] with constant term 1. In other words the functor Exp from abelian groups to commutative rings is adjoint to the functor from commutative rings to abelian groups taking a ring to the group of formal power series with constant term 1.".
- Exp_algebra label "Exp algebra".
- Exp_algebra sameAs Q17012869.
- Exp_algebra sameAs m.010fbxy1.
- Exp_algebra sameAs Q17012869.
- Exp_algebra wasDerivedFrom Exp_algebra?oldid=642061505.
- Exp_algebra isPrimaryTopicOf Exp_algebra.