Monomial difference ideals
Copyright policy )Monomial difference ideals
In this paper, basic properties of monomial difference ideals are studied. We prove the finitely generated property of well-mixed difference ideals generated by monomials. Furthermore, a finite prime decomposition of radical well-mixed monomial difference ideals is given. As a consequence, we prove that every strictly ascending chain of radical well-mixed monomial difference ideals in a difference polynomial ring is finite, which answers a question raised by E. Hrushovski in the monomial case.
- Chinese Academy of Sciences China (People's Republic of)
- Academy of Mathematics and Systems Science China (People's Republic of)
well-mixed difference ideal, monomial difference ideal, 12H10, decomposition of difference ideal, FOS: Mathematics, Hrushovski's question, Difference algebra, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)
well-mixed difference ideal, monomial difference ideal, 12H10, decomposition of difference ideal, FOS: Mathematics, Hrushovski's question, Difference algebra, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)
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