In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.

Let $(R, m)$ be a commutative noetherian local ring and let $Gamma$ be a finite group. It is proved that if $R$ admits a dualizing module, then the group ring $Rga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $Rga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.

In this paper we introduce a generalization of M-small modules and discuss about the torsion theory cogenerated by this kind of modules in category . We will use the structure of the radical of a module in  and get some suitable results about this class of modules. Also the relation between injective hull in  and this kind of modules will be investigated in this article.   For a module  we show...

Let $R$ be a right artinian ring or a perfect commutative‎‎ring‎. ‎Let $M$ be a noncosingular self-generator $sum$-lifting‎‎module‎. ‎Then $M$ has a direct decomposition $M=oplus_{iin I} M_i$‎,‎where each $M_i$ is noetherian quasi-projective and each‎‎endomorphism ring $End(M_i)$ is local‎.

feature vector has 18 dimensions. The feature vector is quantized in four diierent codebooks having 128, 128, 32, 32 prototype vectors respectively. The feature vector and four VQ parameters are computed in real-time every 10 ms, and stored with the speech signal in area B. The program AFE is directly written in the DSP32C's assembler and is supported by AT&Ts application library. Examples To c...

Vampire bats, which transmit paralytic rabies, pose a major obstacle to livestock raising in areas extending from Mexico to Argentina. More widespread use of available bat control measures could stop large-scale animal losses and should be continued. However, it is important that the innocuity and safety of recently developed anticoagulant techniques be amply demonstrated before the latter beco...

‎We call a ring $R$ right generalized semiperfect if every simple right $R$-module is an epimorphic image of a flat right $R$-module with small kernel‎, ‎that is‎, ‎every simple right $R$-module has a flat $B$-cover‎. ‎We give some properties of such rings along with examples‎. ‎We introduce flat strong covers as flat covers which are also flat $B$-covers and give characterizations of $A$-perfe...

sheet metal components design and manufacture need a great deal of experience and know-how. strip layout design is usually done with trial and error until best design for strip layout is finally achieved. knowledge for the system is formulated from plasticity theories, experimental results, and the empirical knowledge of field experts. in this paper, an algorithm which can automatically design ...

Significant recovery after treatment with the whole plant slurry of A.longifolia Nees. was observed in plasma AST, ALT and cholesterol levels in CCl4 induced hepatotoxic rats. This was amply supported by electron micrographs, which indicated normalization of cytoarchitecture of mitochondria and endoplasmic reticulum. The results suggest that the slurry of the plant is useful as a liver tonic.