 About 675,000 results  books.google.com Let N = N, n ••• n Nr be an irredundant primary decomposition with Ass(M/N,) = {?,
}; if Pt = Pj then Ntr\ Nj is again primary, ... If N is a proper submodule of M and P
is a minimal associated prime ofM/N then the Pprimary component of N is ... 

 books.google.com One calls the pcohomological dimension of G, and uses the notation cdp(G) for,
the lower bound of the integers n which satisfy the following condition: (*) For
every discrete torsion Gmodule A, and for every q > n, the pprimary component
of ... 

 books.google.com Then A = ⊕ p∈P ponents (or pSylow subgroups) of A according to Appendix 1,
A1.19. If G = ̂A ( ) Ap with the pprimary comwe set Gp = ⊕p=q∈P Aq ⊥ . We
call Gp the pprimary component or the pSylow subgroup of G. ⊓⊔ The last part
of ... 

 books.google.com (iii) If P is a minimal prime divisor of an ideal A of R, if n is the least positive
integer such that P* is the isolated Pprimary component of A, and if P” # P***,
then P does not contain the intersection of the remaining isolated primary
components of ... 

 books.google.com Sergeĭ Petrovich Novikov, Iskander Asanovich Taĭmanov  2012  Preview These corollari follow immediately from Lemma 7, Proposition 3, and the exact
homotopy sequence of the fiber space W2m_1. Corollary 3. lfm is even, p is a
prime, and 2m— 1 < i < 2m+2p—4, then the pprimary components of the finite ... 

 books.google.com Toda [130, 131] defined new "secondary" Hopf invariants and used these to
extend James' result to odd primes p, that is: Toda: For an odd prime p, p2n
annihilates the pprimary component of the homotopy groups of the sphere S2n+
1. 

 books.google.com Recall that an ideal I in a Noetherian ring R is Pprimary, if Ass(R/I) = {P}. ...
Indeed, if P ∈ Ass(I) is a minimal prime ideal of I, then the Pprimary component
of I is the kernel of the natural ring homomorphism R → (R/I)P, see [Kun08]. 

 books.google.com By Theorem 8.20 T I 11 TM and localizing at p we get the exact triangle “San—"
I Y,,,)—> T<,,)—> sI_I SIP). ... and h I Ikp. Define the pprimary component of X to
be the pprimary spectrum X” given by the exactness of HS'—> X P —> Thai»
sLIS' ... 

 books.google.com Note that, for P 2 Ass0.M=N /, the Pprimary components are not necessarily
unique in general (cf. Corollary 4.4). The compatibility property (see Theorem 3.3
) says that if one takes a Pprimary component of N Â M for each P 2 Ass0.M=N ... 

 books.google.com By Zorn's Lemma, S* can be extended to a maximal independent system M in p*.
Let Ai = {xa\ x e M, p(x) ... For H a subgroup of G and p prime, we let i/p denote
the pprimary component of H. Proposition 2.3.2 Let p 6 L(G). Let p be a prime. 

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