Zobrazeno 1 - 10
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pro vyhledávání: '"Nora C. Hopkins"'
Autor:
Nora C. Hopkins
Publikováno v:
Transactions of the American Mathematical Society. 367:6771-6782
By complexifying all of the variables of an ordinary real quadratic vector differential equation to get a differential equation over C \mathbb {C} , it is shown that the solution to the complex differential equation can be uniquely defined on an open
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d12d84b60a13d38a2bcb87590966958
https://doi.org/10.1090/tran/5318
https://doi.org/10.1090/tran/5318
Autor:
Nora C. Hopkins, Michael Kinyon
Publikováno v:
Transactions of the American Mathematical Society. 351:4545-4559
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::484ef2224ef8c2ab3028f55c88de029d
https://doi.org/10.1090/s0002-9947-99-02212-6
https://doi.org/10.1090/s0002-9947-99-02212-6
Autor:
Nora C. Hopkins, Robert B. Brown
Publikováno v:
Communications in Algebra. 23:373-397
We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and we show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dick
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b2f91e01a3180088960552e494f344b
https://doi.org/10.1080/00927879508825226
https://doi.org/10.1080/00927879508825226
Autor:
Robert B. Brown, Nora C. Hopkins
Publikováno v:
Transactions of the American Mathematical Society. 333:137-155
We consider noncommutative degree two Jordan algebras J \mathcal {J} of two by two matrices whose off diagonal entries are from an anticommutative algebra S \mathcal {S} . We give generators and relations for the automorphism group of J \mathcal {J}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5d6c5b88a8d4225c07bea57c62ba58c
https://doi.org/10.1090/s0002-9947-1992-1068925-4
https://doi.org/10.1090/s0002-9947-1992-1068925-4
Autor:
Nora C. Hopkins
Publikováno v:
Communications in Algebra. 19:2231-2237
We analyze how certain constructions of Lie module triple systems affect the structure theory, particularly simplicity. We are thus able to show that there is no upper bound on the number of summands in a direct sum decomposition of a simple Lie modu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b8c133a3417b640d1742db05558d143
https://doi.org/10.1080/00927879108824256
https://doi.org/10.1080/00927879108824256
Autor:
Nora C. Hopkins
Publikováno v:
Communications in Algebra. 19:767-775
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e964bedade0b58a89c5cf4f9e14852a9
https://doi.org/10.1080/00927879108824168
https://doi.org/10.1080/00927879108824168
Autor:
Nora C. Hopkins
Publikováno v:
Non-Associative Algebra and Its Applications ISBN: 9789401044295
Gradings induced by algebra automorphisms are used to obtain qualitative results on solutions to quadratic differential equations occurring in the algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d4e29e6f7a0cc0f79ae26b3a2a6cfbe
https://doi.org/10.1007/978-94-011-0990-1_29
https://doi.org/10.1007/978-94-011-0990-1_29
Autor:
Nora C. Hopkins, Michael K. Kinyon
Publikováno v:
Transactions of the American Mathematical Society; Nov1999, Vol. 351 Issue 11, p4545-4559, 15p
Autor:
Nora C. Hopkins
Publikováno v:
Proceedings of the American Mathematical Society. 98:569-575
Using representation theory and well-known facts about automorphism groups of reductive Lie algebras, the automorphism group of a basic Lie module triple system ( M , { , , } , L , b , ϕ ) (M,\{ ,,\} ,\mathcal {L},b,\phi ) over an algebraically clos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::746a60e729050807ea09ac008f48ea3e
https://doi.org/10.1090/s0002-9939-1986-0861752-2
https://doi.org/10.1090/s0002-9939-1986-0861752-2
Autor:
Nora C. Hopkins
Publikováno v:
Communications in Algebra. 15:1709-1726
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42a20185d9e0f4ecea5d7cf2266fe481
https://doi.org/10.1080/00927878708823498
https://doi.org/10.1080/00927878708823498