Results 71 to 80 of about 1,288,795 (193)

A Class of Local Non-Chain Rings of Order p^5m

Axioms
This study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi, Badriyah Rashed Alshahrani, Sami Alabiad   +2 more
doaj   +1 more source

Distinguishing permutation isomorphism classes of groups [PDF]

, 1992
The ability to distinguish permutation isomorphism classes of groups is an important step in the computation of Galois groups of polynomials over the rationals.
Lau, Kwok-On
core   +1 more source

Full Classification of Finite Singleton Local Rings

Axioms
The main objective of this article is to classify all finite singleton local rings, which are associative rings characterized by a unique maximal ideal and a distinguished basis consisting of a single element.
Sami Alabiad, Yousef Alkhamees
doaj   +1 more source

Operator representation of weakly Cauchy sequences in projective tensor products of Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1980
It is shown that the above sequences always determine linear transformations and if the sequences are bounded under the least cross norm, that the transformations are continuous.
J. M. Baker
doaj   +1 more source

On the connectedness of isomorphism classes

Manuscripta Mathematica, 1970
This paper is concerned with some topological properties of a notion of distance between normed linear spaces which is due to Banach and Mazur [1], We are interested in a pseudometric space associated naturally with this notion of distance, and our main result is that this pseudometric space is always pathwise connected.
openaire   +2 more sources

Enumeration of isomorphism classes of extensions of p-adic fields [PDF]

, 2004
Let Ω be an algebraic closure of Qp and let F be a finite extension of Qp contained in Ω. Given positive integers f and e, the number of extensions K/F contained in Ω with residue degree f and ramification index e was computed by Krasner.
Keating, Kevin, Hou, Xiang-Dong
core   +1 more source

Isomorphism classes of 10-dimensional filiform Leibniz algebras [PDF]

, 2013
This paper implements Rakhimov-Bekbaev approach to present a complete list of isomorphism classes of a subclass of complex filiform Leibniz algebras obtained from naturally graded non-Lie filiform Leibniz algebra. This class is split into two subclasses.
Suzila Mohd Kasim, Isamiddin S. Rakhimov, Mohd Kasim, Suzila, Sharifah Kartini Said Husain, Said Husain, Sharifah Kartini, Rakhimov, Isamiddin Sattarovich   +5 more
core   +1 more source

Commutative Chain Rings with Index of Nilpotency 5 and Residue Field ${\mathbb{F}}_{p^m}$

Axioms
This paper gives a thorough characterization of chain rings with index of nilpotency 5 and residue field Fpm, where p represents a prime number, contributing valuable insights to the field of algebraic structures.
Alhanouf Ali Alhomaidhi, Sami Alabiad, Nawal A. Alsarori   +2 more
doaj   +1 more source

Compact elliptic curve representations

Journal of Mathematical Cryptology, 2011
Let y2 = x3 + ax + b be an elliptic curve over 𝔽p, p being a prime number greater than 3, and consider a, b ∈ [1, p]. In this paper, we study elliptic curve isomorphisms, with a view towards reduction in the size of elliptic curves coefficients. We first
Ciet Mathieu, Quisquater Jean-Jacques, Sica Francesco   +2 more
doaj   +1 more source

On isomorphism testing of a class of 2-Nilpotent groups

Journal of Computer and System Sciences, 1991
Let \(G\) be a group. A 3-tuple \((x_ 1,x_ 2,x_ 3)\) of elements of \(G\) satisfies \(P_ 3\) if there exists a nontrivial permutation \(\sigma\) of its components such that \(x_ 1x_ 2x_ 3=x_{\sigma(1)} x_{\sigma(2)} x_{\sigma(3)}\). \(G\) satisfies \(P_ 3\) if every 3-tuple of elements of \(G\) satisfies \(P_ 3\).
Max H. Garzon, Yechezkel Zalcstein
openaire   +3 more sources