Titlebook: Difference Algebra; Alexander Levin Book 2008 Springer Science+Business Media B.V. 2008 Algebra.Algebraic difference equation.Algebraic st

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Book 2008and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate..

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ensemble

Difference Kernels over Partial Difference Fields. Difference Valuation Rings,

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Basic Concepts of Difference Algebra, ring homomorphism is unitary (maps unity onto unity), every subring of a ring contains the unity of the ring. Unless otherwise indicated, by the module over a ring . we mean a left .-module. Every module over a ring is unitary and every algebra over a commutative ring is also unitary.

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Systems of Algebraic Difference Equations,inary case in Section 4.5. The whole section, as well as Sections 7.2 and 7.4 – 7.6, is based on the results of R. Cohn. Some of them were obtained in [28], but the main part of the theory first appeared in [41].

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