-
summation is the
addition of a
sequence of numbers,
called addends or
summands; the
result is
their sum or total.
Beside numbers,
other types of values...
-
addition are
collectively referred to as the terms, the
addends or the
summands. This
terminology carries over to the
summation of
multiple terms. This...
- two modules.
Direct sums can also be
formed with any
finite number of
summands; for example, A ⊕ B ⊕ C {\displaystyle A\oplus B\oplus C} ,
provided A...
- of
summands is an
algorithm for fast
binary multiplication of non-signed
binary integers. It is
performed in
three steps:
production of
summands, reduction...
-
regular sequence on W. Cohen-Macaulayness of
Direct Summands Conjecture. If R is a
direct summand of a
regular ring S as an R-module, then R is Cohen–Macaulay...
- ∞ a n {\displaystyle \sum _{n=1}^{\infty }a_{n}} . If the
limit of the
summand is
undefined or nonzero, that is lim n → ∞ a n ≠ 0 {\displaystyle \lim...
- theory, the
concept of pure
submodule provides a
generalization of
direct summand, a type of
particularly well-behaved
piece of a module. Pure
modules are...
- that:(p 198, Thm. 23.14) 1 + ⋯ + 1 ⏟ n
summands = 0 {\displaystyle \underbrace {1+\cdots +1} _{n{\text{
summands}}}=0} if such a
number n exists, and 0...
- In that case, h(P) is a
direct summand of B, h is an
isomorphism from P to h(P), and hf is a
projection on the
summand h(P). Equivalently, B = Im (...
-
theory of
abelian groups, a pure
subgroup is a
generalization of
direct summand. It has
found many uses in
abelian group theory and
related areas. A subgroup...
