منابع مشابه
Elastic Properties and Prime Elements
In a commutative, cancellative, atomic monoid M , the elasticity of a non-unit x is defined to be ρ(x) = L(x)/l(x), where L(x) is the supremum of the lengths of factorizations of x into irreducibles and l(x) is the corresponding infimum. The elasticity ρ(M) of M is given as the supremum of the elasticities of the nonzero non-units in the domain. We call ρ(M) accepted if there exists a non-unit ...
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Let $A$ be a Noetherian ring, $I$ be an ideal of $A$ and $sigma$ be a semi-prime operation, different from the identity map on the set of all ideals of $A$. Results of Essan proved that the sets of associated prime ideals of $sigma(I^n)$, which denoted by $Ass(A/sigma(I^n))$, stabilize to $A_{sigma}(I)$. We give some properties of the sets $S^{sigma}_{n}(I)=Ass(A/sigma(I^n))setminus A_{sigma}(I...
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The index [G:g] of the element g in the [finite] group G is the number of elements conjugate to g in G. The significance of elements of prime power index is best recognized once one remembers Wielandt's Theorem that elements whose order and index are powers of the same prime p are contained in a normal subgroup of order a power of p and Burnside's Theorem asserting the absence of elements of pr...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2006
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-006-0219-z