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The notion of fated filters in R0-algebras is introduced.
Characterizations of (fated) filters are given. A filter generated
by a set is established. By introducing the notion of finite
⊙-property, we show that if F is a nonempty subset of an
R0-algebra L that has the finite ⊙-property, then there
exists a maximal filter of L
containing F.
Let R be a ring and let N denote the set of nilpotent elements of R. Let n be a nonnegative integer. The ring R is called a θn-ring if the number of elements in R which are not in N is at most n. The following theorem is proved: If R is a θn-ring, then R is nil or R is finite. Conversely, if R is a nil ring or a finite ring, then R is a θn-ring for some n. The proof of this theorem uses the structure theory of rings, beginning with the division ring case, followed by the primitive ring case, ...
The retailer's optimal procurement quantity and the number of transfers from the warehouse to the display area are determined when demand is decreasing due to recession and items in inventory are subject to deterioration at a constant rate. The objective is to maximize the retailer's total profit per unit time. The algorithms are derived to find the optimal strategy by retailer. Numerical examples are given to illustrate the proposed model. It is observed that during recession when demand is ...
Govil, N. K.; Gupta, Vijay; Noor, Muhammad Aslam(2006)
We study the simultaneous approximation properties of the
well-known Phillips operators. We establish the rate of
convergence of the Phillips operators in simultaneous
approximation by means of the decomposition technique for
functions of bounded variation.
In this paper we consider dual integral equations involving inverse
Weber-Orr transforms of the type Wν−k,ν−1[;], k=0,1,…. A general solution is
established using elementary methods. Many known results are derived as special cases.
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