- ISBN 0-387-95183-0, MR 1838439, Zbl 0980.16001 Ord
Ring_ZF_1_L9
OrdRing_ZF_2_L5
ord_
ring_
infinite OrdRing_ZF_3_L2, see also
OrdGroup_decomp
OrdRing_ZF_1_L12...
- In mathematics, a
formal series is an
infinite sum that is
considered independently from any
notion of convergence, and can be mani****ted with the usual...
-
modules have
infinite length.
Modules of
finite length are
called Artinian modules and are
fundamental to the
theory of
Artinian rings. The
degree of...
- In
abstract algebra, a
partially ordered ring is a
ring (A, +, ·),
together with a
compatible partial order, that is, a
partial order ≤ {\displaystyle...
- theory,
where Zp
denotes a p-adic
number ring, or
localization at a
prime ideal. On the
other hand, in an
infinite cyclic group G = ⟨g⟩, the
powers gk give...
-
ord Z ( f ) {\displaystyle \operatorname {
ord} _{Z}(f)}
denotes the
order of
vanishing of f {\displaystyle f}
along Z {\displaystyle Z} . (Thus
ord...
- \nu (\mathbf {p} )\geq 0}
where p runs over all
places of K,
finite or
infinite, the
exponents ν(p) are zero
except for
finitely many p. If K is a number...
- 1 ζ X ( s ) = r k O X × ( X ) − r k P i c ( X ) {\displaystyle \mathrm {
ord} _{s=n-1}\zeta _{X}(s)=rk{\mathcal {O}}_{X}^{\times }(X)-rk\mathrm {Pic}...
- properties; p-adic
numbers can be
written in a form
similar to (possibly
infinite) decimals, but with
digits based on a
prime number p
rather than ten, and...
-
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