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A Gδ IDEAL OF COMPACT SETS STRICTLY ABOVE THE NOWHERE DENSE IDEAL IN THE TUKEY ORDER
Gδ IDEAL COMPACT SETS STRICTLY NOWHERE DENSE IDEAL TUKEY ORDER
2015/8/17
We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a qu...
Graded multiplication modules and the graded ideal θg (M)
Graded multiplication modules；Graded ideal θg (M)；Graded secondary modules
2011/4/6
Let G be a group and let R be a G-graded commutative ring. For a graded R-module M, the notion of the associated graded ideal θg (M) of R is defined. It is proved that the graded ideal θg (M) is impo...
A minimum depth dI (S ! R) is assigned to a ring homomorphism S ! R and a bimodule RIR. The recent notion of depth of a subring d(S,R) in a paper by Boltje-Danz-K¨ulshammer is recovered when I = R and...
Theorems of Hicks and LeChatelier-Samuelson type in ideal Banach spaces of infinite sequences
nonnegative matrix input-output matrix Orlicz space Marcinkiewicz space perfect ideal Banach space
2009/1/8
It is shown in this paper that the classical Hicks and LeChatelier-Samuelson
theorem, concening the behavior of solutions x of a system of linear equations
x = Ax+c ; can be generalized to the case ...
Remarks on self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas
self-similar solutions Navier-Stokes equations viscous polytropic gas
2010/9/13
This paper is concerned with the self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas. Our results show that there exist neither forward nor backward...
Another Version of Anderson's Inequality in the Ideal of all Compact Operators
Generalized derivation Orthogonality Compact operators
2008/7/3
Another Version of Anderson's Inequality in the Ideal of all Compact Operators.