the generalized principal ideal theorem is one of the cornerstones of dimension theory for noetherian rings. for an r-module m, we identify certain submodules of m that play a role analogous to that of prime ideals in the ring r. using this definition, we extend the generalized principal ideal theorem to modules.

Objective: The study aimed to determine the effect of eight weeks high intensity interval (HIIT) and sub-maximal continuous trainings on plasma betatrophin level in diabetic rats treated with metformin. Materials and Methods: In this experimental study, 42 diabetic wistar rats were divided into six groups (n=7): diabetic control (C), diabetic control + metformin consumption(C+M), diabetic HIIT...

1. Some basic facts Denote by O = ON+1 the ring of germs of holomorphic functions f = f(z0, · · · , zN ) defined in a neighborhood of ~0 ∈ CN+1. We denote by m ⊂ O the maximal ideal of O, f ∈ m ⇐⇒ f(~0) = 0. Let f ∈ m. Assume ~0 is an isolated critical point of f , i.e. ~0 is an isolated point of the variety ∂zif = 0, ∀i = 0, · · · , N. We define the Jacobian ideal of f to be the ideal Jf ⊂ O g...

The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.

In his paper Lyu G Lyubeznik uses the theory of algebraic D modules to study local cohomology modules He proves in particular that if R is any regular ring containing a eld of characteristic zero and I R is an ideal the local cohomology modules H i I R have the following properties i H m H i I R is injective where m is any maximal ideal of R ii inj dimR H i I R dimRH i I R iii The set of the as...

we consider the queueing maximal covering location-allocation problem (qm-clap) with an m/m/1 queueing system. we propose a new solution procedure based on decomposition of the problem into smaller sub-problems. we solve the resulting sub-problems both with a branch and bound algorithm and with the meta-heuristic grasp. we also solve the entire model with grasp. computational results for these ...

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

1. Introduction Let B be a commutative Banach algebra, and let 6 be a homomorphism from B into a Banach algebra A. In this paper we are concerned with establishing conditions on A and B which ensure that 6 is continuous. If A is semisimple, it is well known that any such homomorphism must be continuous, and therefore we shall be interested in cases where A is not semisimple. Questions of this n...