Results 51 to 60 of about 494,087 (171)

Primitive elements and one relation algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
Let F be a free algebra in a variety V. An element p of F is called primitive if it is contained in some free generating set for F. In 1936, J. H. C. Whitehead proved that a group with generators g 1 , … , g n ...
openaire   +2 more sources

Homo naledi, a new species of the genus Homo from the Dinaledi Chamber, South Africa

open access: yeseLife, 2015
Homo naledi is a previously-unknown species of extinct hominin discovered within the Dinaledi Chamber of the Rising Star cave system, Cradle of Humankind, South Africa.
Lee R Berger   +46 more
doaj   +1 more source

Computing primitive elements of extension fields

open access: yesJournal of Symbolic Computation, 1989
So-called ``trial methods'' for finding primitive elements and the corresponding minimal polynomials of finitely generated algebraic extensions of \({\mathbb{Q}}\) have been presented by \textit{B. M. Trager} [Symbolic and algebraic computation, Proc. ACM Symp. 1976, Yorktown Heights/N.Y., 219-226 (1976; Zbl 0498.12005)] and \textit{R.
Kazuhiro Yokoyama   +2 more
openaire   +2 more sources

Unipotency of Matrix Group Generated by Two Matrices

open access: yesJournal of Applied Mathematics
In this paper, the problem of unipotency for the matrix group generated by two matrices is examined. By employing matrix logarithms as a tool, various combinatorial formulas for matrices were derived by selecting different primitive elements.
Yanshuo Cheng, Xinsong Yang
doaj   +1 more source

Compressive Characteristics and Energy Absorption Capacity of Automobile Energy-Absorbing Box with Filled Porous TPMS Structures

open access: yesApplied Sciences
In order to meet the higher requirements of energy-absorbing structures in the lightweight automobile design, the mechanical design and impact energy absorption of porous TPMS structures are studied. Eight kinds of porous TPMS structure elements, Gyroid,
Xuejin Zhao   +3 more
doaj   +1 more source

Sets of primitive elements in a free group

open access: yesJournal of Algebra, 2012
Let \(F_n\) be the free group on \(n\) generators and \(X=\{x_1,\dots,x_{n}\}\) a standard basis for \(F_n\). A set \(U=\{u_1,u_2,\dots,u_m\}\), \(m\leq n\), is called a primitive set in \(F_n\) if it can be extended to a basis of \(F_n\). In this paper the authors study primitive sets from three classical viewpoints. 1.
Clifford, A., Goldstein, R.Z.
openaire   +1 more source

Image Encryption Based on a Coined Chaotic System and High-Intensity Encryption Primitives

open access: yesIEEE Access
Security and efficiency are two major themes of image encryption algorithm. To enhance the security together with improving the operational efficiency, this paper proposes an image encryption algorithm based on a novel chaos and high-strength encryption ...
Guanghui Cao   +3 more
doaj   +1 more source

Accurate Elements and Super-Primitive Elements over Rings

open access: yesJournal of Algebra, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Onoda, Nobuharu   +2 more
openaire   +2 more sources

Primitive, Almost Primitive, Test, and Δ-Primitive Elements of Free Algebras with the Nielsen–Schreier Property

open access: yesJournal of Algebra, 2000
Let \(k\) be a field of characteristic different from 2 and \(F\) a free algebra in a Schreier variety \(V\) of nonassociative \(k\)-algebras defined by a set of homogeneous identities. An element \(v\in F\) is primitive if \(v\) can be included into some set of generators of \(F\). Let \(F\) have two free generators and \(u\in F\setminus 0\).
Yu, JT, Mikhalev, AA
openaire   +3 more sources

Direct Time-Domain TAN Model of 3D Multilayer Hybrid PCB: Experimental Validation

open access: yesIEEE Access, 2018
The multilayer technology constitutes the ultimate solution for the design of high-density printed circuit board (PCB). Challenging modeling method is required to predict the signal integrity (SI) of the multilayer PCB. This paper addresses an unfamiliar
Z. Xu   +5 more
doaj   +1 more source

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