we show that the lattice of all ideals of a ring $r$ can be embedded in the lattice of all its fuzzyideals in uncountably many ways. for this purpose, we introduce the concept of the generalizedcharacteristic function $chi _{s}^{r} (a)$ of a subset $a$ of a ring $r$ forfixed $r , sin [0,1] $ and show that $a$ is an ideal of $r$ if, and only if, its generalizedcharacteristic function $chi _{s}^{...

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

In this article, Lindley's measure of average information is used to measure the information contained in incomplete observations on the vector of unknown regression coefficients [9]. This measure of information may be used to compute the missing regressor values.

a new fixed-partial denture design using laminates is described for the replacement of a missing anterior tooth. in this article advantages, disadvantages, indications and contraindications of the new design have been discussed. this method is best suited for cases with missing incisors and esthetically compromised abutment teeth.

careful treatment planning, space management, augmentation of bone and attention to the details of implant surgical and prosthetic techniques are important factors when treating anterior maxilla, especially in the replacement of missing teeth. this case report addresses the fundamental considerations related to replacement of a congenitally missing lateral incisor by a team approach.

In the combination of 5-fluorophenyl-1, 3, 7, 9-tetra methyl pyrido [2, 3, d, d, 5, 6 di pyrimidine -2, 4, 6, and 8 tetron, there are 4 rings, respectively, ring that is attached to the halogen ring A and, respectively, a ring The lower and the right to the left of the ring A are called C, B, and D. Calculations and studies show that the amount of aromatics in halogen-ring A in all cases has th...

a new design for replacing a missing anterior tooth is described. in this article, a lingually fixed partial denture, its advantages, disadvantages, indication and contraindications have been explained. the ability of this design to replace a single missing central or lateral incisor is discussed.

the concept of fuzzy soft γ-ring is introduced; and some properties of fuzzy soft γ-rings are given. then the definitions of fuzzy soft γ-ideals are proposed and some of their theories are considered.

A heterogeneous catalyst for producing epoxidized vegetable oils, an important intermediate in the production of non-isocyanate polyurethanes, is essential product separation and decreasing side-reaction, i.e., ring-opening reaction, via Prileschajew method. The development reliable kinetic models considering key variables both phases mass transfer phenomena missing literature. reaction pathway...