Transcendence degree over an arbitrary commutative ring
نویسندگان
چکیده
منابع مشابه
Uniformly Secondary Modules over Commutative Ring
In [2] the notion of “uniformly ideal” was introduced and developed the basic theory. In this article we introduce and advance a theory which, in a sense, dual to that i.e, the notion of “uniformly secondary module”.
متن کاملCycles over Fields of Transcendence Degree One
We extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its Albanese map is non-zero over the field of complex numbers, this kernel is non-zero over a field of transcendence degree one. This says that the conjecture of Bloch and Beilinson that this kernel is zero for varieties over number fields is precise in the sense that i...
متن کاملCycles over Fields of Transcendence Degree 1
where (a) the group of cycles Z(V ) is the free abelian group on scheme-theoretic points of V of codimension p and (b) rational equivalence R(V ) is the subgroup generated by cycles of the form divW(f ), where W is a subvariety of V of codimension p − 1 and f is a nonzero rational function on it. There is a natural cycle class map clp : CH (V ) → H(V ), where the latter denotes the singular coh...
متن کاملCoalgebras Over a Commutative Ring
By a coalgebra over the commutative ring K or a K-coalgebra, we understand a cocommutative, coassociative K-coalgebra with counit. More explicitly we mean a K-module C equipped with maps &C+C&C, subject to the requirement (where we write @ for OK) that the following diagrams commute: CLC@C where the vertical arrow is the one which switches the factors; CAC@C 1 CC38 C@C e@'CtC@C@C, where we have...
متن کاملOn Kalman models over a commutative ring
There is a good notion of rational functions with coefficients in a commutative ring. Using this notion, we easily obtain a neat generalization of Chapter 10 of the classical book by Kalman et al. to linear systems over an arbitrary commutative ring. The generalizations certainly exist already. However, we believe that the approach we present is more natural and straightforward. In this note we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90100-6