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Differential and difference algebra
Journal of Soviet Mathematics, 1989In this survey (508 references), according to the material of R. Zh. Mat. for the years 1975-1986 basic results on differential and difference algebra are reflected (differential rings and modules, differential fields, differential-algebraic geometry, differential and difference dimension, differential and difference Galois theory, integration in ...
Mikhalev, A. V., Pankrat'ev, E. V.
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Algebra: A World of Difference
2006B1 - Chapter in Research Book ...
Kendal, M, Stacey, K
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Pseudo-Effect Algebras and Pseudo-Difference Posets
International Journal of Theoretical Physics, 2004It is now well known that effect algebras and difference posets are algebraically equivalent. A pseudo-effect algebra is, roughly, a noncommutative effect algebra. The authors introduce two operations, left and right subtraction, on a pseudo-effect algebra and study their elementary properties.
Ma, Zhihao, Wu, Junde, Lu, Shijie
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On Inessential Elements in Different Banach Algebras
Quaestiones Mathematicae, 2009If B is a subalgebra of a Banach algebra A we consider the problem of determining conditions that ensure that an element of B that exhibits a property in B also exhibits this property when viewed as an element of A. Further, we consider the converse problem whereby an element of B exhibiting a property in A also exhibits this property in B.
Behrendt, D, Raubenheimer, H
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Dimension Polynomials in Difference and Difference-Differential Algebra
1999Let R be a difference ring with a basic set σ = {α l,...,α n } and let T = T σ be a free commutative semigroup generated by the elements α l,...,α n . As in Section 3.3, by the order of an element \(\tau = \alpha _1^{{k_1}}...\alpha _n^{{k_n}} \in T\left( {{k_1},...,{k_n} \in } \right)\) we shall mean the number ord \(\tau = \Sigma _{i = 1}^n{k_1 ...
M. V. Kondratieva +3 more
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Systems of Algebraic Difference Equations
American Journal of Mathematics, 1933Ritt, J. F., Doob, Joseph L.
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Set algebra — based algebraic evolutionary algorithm for binary optimization problems
Applied Soft Computing Journal, 2023He Yichao, Seyedali Mirjalili
exaly

