Zobrazeno 1 - 10 of 63 pro vyhledávání: '"Erwin Kleinfeld"'
2
A short characterization of the octonions
Autor: Yoav Segev, Erwin Kleinfeld
Publikováno v: Communications in Algebra. 49:5347-5353
In this paper we prove that if $R$ is a proper alternative ring whose additive group has no $3$-torsion and whose non-zero commutators are not zero-divisors, then $R$ has no zero-divisors. It follows from a theorem of Bruck and Kleinfeld that if, in
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::973481bbdc4491c327a2c439bf7e1055
https://doi.org/10.1080/00927872.2021.1943425
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3
Alternative rings whose associators are not zero-divisors
Autor: Erwin Kleinfeld, Yoav Segev
The purpose of this short note is to prove that if $R$ is an alternative ring whose associators are not zero-divisors, then $R$ has no zero divisors. By a result of Bruck and Kleinfeld, if, in addition, the characteristic of $R$ is not $2,$ then the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f240d2e2bf616c0d0db7ce764941855
http://arxiv.org/abs/2106.11100
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4
On the nucleus of certain lie admissible rings
Autor: Margaret Kleinfeld, Erwin Kleinfeld
Publikováno v: Communications in Algebra. 27:1313-1320
(1999). On the nucleus of certain lie admissible rings. Communications in Algebra: Vol. 27, No. 3, pp. 1313-1320.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::03737803edba788cd754c8adfc71c805
https://doi.org/10.1080/00927879908826496
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8
On prime right alternative rings with commutators in the left nucleus
Autor: Erwin Kleinfeld, Harry F. Smith
Publikováno v: Bulletin of the Australian Mathematical Society. 50:287-298
A ring is called s–prime if the 2-sided annihilator of a nonzero ideal must be zero. In particular, any simple ring or prime (—1, 1) ring is s–prime. Also, a nonzero s–prime right alternative ring, with characteristic ≠ 2, cannot be right n
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee5967a9f0245f44dc40d30f3965e217
https://doi.org/10.1017/s0004972700013745
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9
Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: a case study using albert
Autor: Erwin Kleinfeld, Irvin Roy Hentzel, David P. Jacobs
Publikováno v: International Journal of Computer Mathematics. 49:19-27
Albert is an interactive computer system for building nonassociative algebras [2]. In this paper, we suggest certain techniques for using Albert that allow one to posit and test hypotheses effectively. This process provides a fast way to achieve new
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ac44b6e84865aa0b01c634e36deddcb6
https://doi.org/10.1080/00207169308804211
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10
Right alternative algebras with commutators in a nucleus
Autor: Harry F. Smith, Erwin Kleinfeld
Publikováno v: Bulletin of the Australian Mathematical Society. 46:81-90
Let A be a right alternative algebra, and [A, A] be the linear span of all commutators in A. If [A, A] is contained in the left nucleus of A, then left nilpotence implies nilpotence. If [A, A] is contained in the right nucleus, then over a commutativ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ea552bf99d5948e28ea8dd5735fe4ebf
https://doi.org/10.1017/s0004972700011692
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