Results 241 to 250 of about 201,390 (279)

Geometric equivalence of groups

Proceedings of the Steklov Institute of Mathematics, 2007
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Bludov, V. V., Gusev, B. V.
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Geometrical equivalence of groups

Communications in Algebra, 1999
The notion of geometrical equivalence of two algebras, which is basic for this paper, is introduced in [5], [6]. It is motivated in the framework of universal algebraic geometry, in which algebraic varieties are considered in arbitrary varieties of algebras.
B. Plotkin, E. Plotkin, A. Tsurkov
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GEOMETRIC EQUIVALENCE OF ALGEBRAS

International Journal of Algebra and Computation, 2001
In this paper, we study the geometric equivalence of algebras in several varieties of algebras. We solve some of the problems formulated in [2], in particular, that of geometric equivalence for real-closed fields and finitely generated commutative groups.
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Geometric equivalence of Clifford algebras

Journal of Mathematical Physics, 2006
We motivate a notion of geometric equivalence that is not the usual notion of algebraic equivalence (or isomorphism of Clifford algebra). Using this definition tilting to the opposite metric is a geometric equivalence in contrast to such algebraic equivalences as Cℓ(3,0)≅Cℓ(1,2) which are not geometric.
Botman, David M., Joyce, William P.
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Geometric equivalence, geometric similarity, and geometric compatibility of algebras

Journal of Mathematical Sciences, 2007
Most attention is focused on conditions laid on the algebras from a given variety, which provide the coincidence of their algebraic geometries. The notions mentioned in the title of the paper play a leading part. Bibliography: 26 titles.
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Geometric and conditional geometric equivalences of algebras

Algebra and Logic, 2013
Two universal algebras are said to be geometrically equivalent (conditionally geometrically equivalent) if pairs of different systems of termal equations (of quantifier-free elementary formulas) defining common algebraic sets (definable subsets) are properly the same.
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EQUIVALENCE OF STOCHASTIC, KLAUDER AND GEOMETRIC QUANTIZATION

International Journal of Modern Physics A, 1992
The relativistic generalization of stochastic quantization helps us to introduce a stochastic-phase-space formulation when a relativistic quantum particle appears as a stochastically extended one. The nonrelativistic quantum mechanics is obtained in the sharp point limit.
Hajra, K., Bandyopadhyay, P.
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A Geometric Relationship Between Equivalent Spreads

Designs, Codes and Cryptography, 2003
It is well known that a translation plane can be defined by a spread of a projective space \(P = PG(d, q)\) and vice versa. An \(n\)-spread of \(P = PG(d, q)\) is a set of \(n\)-dimensional subspaces partitioning the point set of \(P\). It may occur that an \(n\)-spread of \(PG(d, q)\) and an \(m\)-spread of \(PG(t, q)\) with \(n \neq m \) define the ...
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Geometric equivalence of nilpotent groups

Journal of Mathematical Sciences, 2007
Nilpotent, torsion free groups are considered. Sufficient conditions are presented for a nilpotent, torsion free group to be geometrically equivalent to its Mal’tsev completion. Also some results are achieved in describing the classes of geometric equivalence of class 2 nilpotent, torsion free groups with center of small rank. Bibliography: 15 titles.
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A geometric characterization of “optimality-equivalent” relaxations

Journal of Global Optimization, 2008
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Ben Ameur, Walid, Neto, José
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