Results 201 to 210 of about 1,217,812 (237)

Wajsberg algebras and post algebras

Studia Logica, 1994
An algebra \(A= \langle A,\to,\neg\rangle\) is said to be a Wajsberg algebra if it satisfies the following equations: \[ \begin{aligned} (a\to b)\to b&= b \\ (a\to b)\to((b\to c)\to (a\to c))&= a\to a \\ (a\to b)\to b&= (b\to a)\to a \\ (\neg a\to \neg b)\to (b\to a)&= a\to a \end{aligned} \] Any finite subdirectly irreducible Wajsberg algebra is ...
Rodríguez, Antonio Jesús, Torrens, Antoni   +1 more
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Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra)

2011
Operator algebras play a fundamental role in algebraic quantum field theory. In order to understand this, one has first to understand the crucial algebraic structures of the Euclidean space. The point is that relevant products possess an invariant meaning, that is, they are independent of the choice of a basis of the Euclidean space.
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ALGEBRAIC GEOMETRY FOR MV-ALGEBRAS

The Journal of Symbolic Logic, 2014
AbstractIn this paper we try to apply universal algebraic geometry to MV algebras, that is, we study “MV algebraic sets” given by zeros of MV polynomials, and their “coordinate MV algebras”. We also relate algebraic and geometric objects with theories and models taken in Łukasiewicz many valued logic with constants.
Lawrence P. Belluce, DI NOLA, Antonio, LENZI, Giacomo   +2 more
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Algebraic radicals and incidence algebras

Journal of Discrete Mathematical Sciences and Cryptography, 1999
Let \(I(X,R)\) denote the incidence algebra of the locally finite partially ordered set \(X\) over the ring \(R\) (with identity). The objective of this paper is to describe the elements in the upper nilradical of \(I(X,R)\). Any \(f\in I(X,R)\) can be decomposed as \(f=f_D+f_U\) where \(f_D(x,x)=f(x,x)\) and \(f_U(x,y)=f(x,y)\) for \(x\neq y\) in \(X\)
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Hopf algebras over hopf algebras

Annali di Matematica Pura ed Applicata, 1967
In any category with products and a terminal object one may define the notions of group, module over a group etc. if f: R′→R is a homomorphism of groups, and M an R-module, then one has an induced R′-module f*(M). If one is working in the category of sets, one may define a functor left adjoint to f* by N→R⊗R′ N, where N is an R′-module.
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Algebraic Correspondences Between Algebraic Varieties

The Annals of Mathematics, 1935
Introduction. Attempts have been made recently by Albanese' and Severi2 to extend to surfaces some of the classical results of the theory of correspondence between algebraic curves, and in particular, the theory of correspondences with valency. Albanese's investigations are concerned primarily with the behaviour of continuous systems of curves on the ...
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ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY

International Journal of Geometric Methods in Modern Physics, 2008
We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector.
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Division Algebras, Clifford Algebras, Periodicity

Advances in Applied Clifford Algebras, 2018
Periodicities in Clifford algebra theory of orders \(2,4,\) and \(8\) are well known. Starting from a result from lattice theory, in which a \(24\)-dimensional Leech lattice can be represented in the \(3\)-dimensional space with octonion components, the main goal of this paper is to prove that, by exploiting the octonion algebra, in Clifford algebra ...
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ALGEBRAIC AUTOMORPHISMS AND $ PI$-ALGEBRAS

Mathematics of the USSR-Sbornik, 1975
This paper is concerned with associative algebras over a field of characteristic zero which possess a -regular algebraic automorphism. (An automorphism is called -regular if the subalgebra of fixed elements satisfies an identity of degree .) It is shown that if an algebra admits a -regular algebraic automorphism such that no root of unity is a multiple
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Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly