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Successful Emergency Removal of a Titanium Penile Constriction Ring Using Blood Aspiration and Nonpowered Bolt Cutters. [PDF]
CureusWeston GF, Golden BM.
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Canadian Journal of Mathematics, 1952 The only known simple alternative rings which are not associative are the Cayley algebras. Every such algebra has a scalar extension which is isomorphic over its center F to the algebra where . The elements e11 and e00 are orthogonal idempotents an , for every xij of .
A. A. Albert
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On Quotient Rings in Alternative Rings
Communications in Algebra, 2014We introduce a notion of left nonsingularity for alternative rings and prove that an alternative ring is left nonsingular if and only if every essential left ideal is dense, if and only if its maximal left quotient ring is von Neumann regular (a Johnson-like Theorem). Finally, we obtain a Gabriel-like Theorem for alternative rings.
MIGUEL Gomez Lozano
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Artin’s Theorem on Alternative Rings
Mediterranean Journal of Mathematics, 2023An alternative ring is a ring \(A\) that satisfies the identities \((xx)y = x(xy)\) and \(y(xx) = (yx)x\). A division ring is a ring with 1 such that each nonzero element has a multiplicative inverse. This paper extends some well known theorems to alternative division rings.
Bruno Leonardo Macedo Ferreira +1 more
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Nilpotent Ideals in Alternative Rings
Canadian Mathematical Bulletin, 1980 It is well known and immediate that in an associative ring a nilpotent one-sided ideal generates a nilpotent two-sided ideal. The corresponding open question for alternative rings was raised by M. Slater [6, p. 476]. Hitherto the question has been answered only in the case of a trivial one-sided ideal J (i.e., in case J2 = 0) [5]. In this note we solve
Michael Rich
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The nucleus in alternative rings with idempotent
, 1978 This article is published as Hentzel, Irvin Roy, Erwin Kleinfeld and Harry F. Smith, “The Nucleus in Alternative Rings with Idempotent,” Mathematical Reports – Comptes Rendus Mathématiques, vol. 1, no. 1 (1978/79): 17-19. Posted with permission.
Hentzel, Irvin +2 more
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