Results 21 to 30 of about 12,793,786 (229)

The Algebraic Structure of Quantity Calculus [PDF]

open access: yesMeasurement Science Review, 2016
The algebraic structure underlying the quantity calculus is defined axiomatically as an algebraic fiber bundle, that is, a base structure which is a free Abelian group together with fibers which are one dimensional vector spaces, all of them bound by ...
Á. Raposo
semanticscholar   +1 more source

Some properties of finite generalized-groups [PDF]

open access: yesJournal of Mahani Mathematical Research
In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
doaj   +1 more source

On the algebraic structure of Killing superalgebras [PDF]

open access: yes, 2016
We study the algebraic structure of the Killing superalgebra of a supersymmetric background of $11$-dimensional supergravity and show that it is isomorphic to a filtered deformation of a $\mathbb Z$-graded subalgebra of the Poincare superalgebra.
J. Figueroa-O’Farrill, A. Santi
semanticscholar   +1 more source

Structure of Chinese algebras

open access: yesJournal of Algebra, 2011
The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in a one to one correspondence with diagrams of certain special type. There are finitely many such ideals.
Jan Okniński, Joanna Jaszuńska
openaire   +4 more sources

Efficient Enumeration of Higher Order Algebraic Structures

open access: yesIEEE Access, 2020
Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
doaj   +1 more source

Algebraic structure of Robinson–Trautman and Kundt geometries in arbitrary dimension [PDF]

open access: yes, 2014
We investigate the Weyl tensor algebraic structure of a fully general family of D-dimensional geometries that admit a non-twisting and shear-free null vector field k ?> .
J. Podolský, R. Švarc
semanticscholar   +1 more source

The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus

open access: yesMeasurement Science Review, 2019
In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus.
Raposo Álvaro P.
doaj   +1 more source

Gauged double field theory as an L ∞ algebra

open access: yesJournal of High Energy Physics, 2021
L ∞ algebras describe the underlying algebraic structure of many consistent classical field theories. In this work we analyze the algebraic structure of Gauged Double Field Theory in the generalized flux formalism. The symmetry transformations consist of
Eric Lescano, Martín Mayo
doaj   +1 more source

Program Induction by Rationale Generation: Learning to Solve and Explain Algebraic Word Problems [PDF]

open access: yesAnnual Meeting of the Association for Computational Linguistics, 2017
Solving algebraic word problems requires executing a series of arithmetic operations—a program—to obtain a final answer. However, since programs can be arbitrarily complicated, inducing them directly from question-answer pairs is a formidable challenge ...
Wang Ling   +3 more
semanticscholar   +1 more source

Comparison Between Algebraic Cryptanalysis on DES and NTRU

open access: yesInPrime, 2023
Algebraic cryptanalysis is a cryptanalysis method that aims to exploit the algebraic structure of an encryption algorithm to obtain the secret key. Algebraic cryptanalysis becomes interesting because it uses a small amount of known plaintext, which in ...
Fadila Paradise, Kiki Ariyanti Sugeng
doaj   +1 more source

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