Zobrazeno 1 - 10
of 30
pro vyhledávání: '"G. P. Wene"'
Autor:
G. P. Wene
The term semifield will refer to a not necessarily associative division ring. Semi-fields are used in the study of projective planes. J. Petit presented a construction for semifields based on results contained in O. Ore’s papers on rings of noncomm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::309d8a86c98fbf678f704d7810235103
https://doi.org/10.1201/9780429187674-39
https://doi.org/10.1201/9780429187674-39
Autor:
G. P. Wene
Publikováno v:
Communications in Algebra. 45:967-970
We construct a large collection of semifields of all prime characteristics, quadratic over a weak nucleus, that are antiisomorphic to themselves.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5972dcc0775c6ac4b629c63d96e2ba73
https://doi.org/10.1080/00927872.2016.1172607
https://doi.org/10.1080/00927872.2016.1172607
Autor:
G. P. Wene
Publikováno v:
Advances in Applied Clifford Algebras. 27:1917-1925
Finite dimensional real division algebras are examined under the permutation of their structure constants. It is noted that there is only one finite-dimensional real flexible division algebras with an automorphism group isomorphic to S3. We show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20e7731dd6d4a10aa5931c6048e236ee
https://doi.org/10.1007/s00006-016-0712-8
https://doi.org/10.1007/s00006-016-0712-8
Autor:
G. P. Wene
Publikováno v:
Journal of Modern Physics. :923-926
Hamieh and Abbas [1] propose using a 3-dimensional real algebra in a solution of the Dirac equation. We show that this algebra, denoted by , belongs to a large class of quadratic Jordan algebras with subalgebras isomorphic to the complex numbers and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f4196231624816b6f87f30ad7ccf2aa
https://doi.org/10.4236/jmp.2012.39120
https://doi.org/10.4236/jmp.2012.39120
Autor:
G. P. Wene
Publikováno v:
Journal of Knot Theory and Its Ramifications. 27:1841014
A brief history of finite semifields upto 1965 is followed by a more detailed examination of recent discoveries with particular emphasis on constructions, fractional dimensions and cyclic semifields. Other results are also developed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e6b2e360529d4d7e25ac262e9deb47b
https://doi.org/10.1142/s0218216518410146
https://doi.org/10.1142/s0218216518410146
Autor:
Irvin Roy Hentzel, G. P. Wene
Publikováno v:
Communications in Algebra. 38:1790-1795
Albert's construction for commutative semifields of order 2 n , n odd, is presented. It avoids the construction of a presemifield and, in the case that n is prime, allows us to determine automorphism groups and the isomorphism classes. If n is a prim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f27c28985ae7ccb4b72de805acc97abe
https://doi.org/10.1080/00927870802337176
https://doi.org/10.1080/00927870802337176
Autor:
V. Jha, G. P. Wene
Publikováno v:
Discrete Mathematics. 155(1-3):127-134
Let oxy denote a fixed autotopism triangle of a finite commutative semifield plane of even order q N , with middle nucleus GF ( q ). A point I ∉ { x , y , o } is called a central unit of the plane, relative to oxy , if coordinatising the plane by a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4222e8b205bb2f85acee557cf65dfea
Autor:
G. P. Wene
Publikováno v:
Aequationes Mathematicae. 41:222-233
All division ringsD of 16, 27, 32, 125 and 343 elements are shown to have aright primitive elementp such that $$\mathcal{D}* = \{ e,ep,(ep)p,...,(...(ep)p...)p\} .$$ That is, the multiplicative loop is the set of all right multiples of the identitye
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d4a792de3cdc7e8088086ec7a75cea7
https://doi.org/10.1007/bf02227457
https://doi.org/10.1007/bf02227457
Autor:
Chris L. Hackert, Larry J. Paxton, Xiaoqing Pi, Andrew B. Christensen, Daniel Morrison, N. Curtis, G. Crowley, G. P. Wene, D. J. Strickland, Gary S. Bust, R. R. Meier, Raymond G. Roble, Anthony J. Mannucci
Publikováno v:
Journal of Geophysical Research. 111
[1] There is great interest in understanding how the thermosphere-ionosphere system responds to geomagnetic storms. New insights are possible using the new generation of fully coupled three-dimensional models, together with extensive ionospheric data
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6ce621310cac9b62a82d1330e4377ae
https://doi.org/10.1029/2005ja011518
https://doi.org/10.1029/2005ja011518
Autor:
G. P. Wene
Publikováno v:
Lecture Notes in Pure and Applied Mathematics ISBN: 9780824726690
Non-Associative Algebra and Its Applications
Non-Associative Algebra and Its Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::325fd5aa069db99c9d3a992644ccbf55
https://doi.org/10.1201/9781420003451.ch33
https://doi.org/10.1201/9781420003451.ch33