Let $R$ be a commutative Noetherian ring with non-zero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$--module of finite projective dimension and $N$ an arbitrary finite $R$--module. We characterize the membership of the generalized local cohomology modules $lc^{i}_{fa}(M,N)$ in certain Serre subcategories of the category of modules from upper bounds. We define and study the properti...

inspired by a recent work of buchweitz and flenner, we show that, for a semidualizing bimodule $c$, $c$--perfect complexes have the ability to detect when a ring is strongly regular.it is shown that there exists a class of modules which admit minimal resolutions of $c$--projective modules.

Lifetime models of high-power Insulated Gate Bipolar Transistors modules express the number cycles to end life as a function stress parameters. These are normally developed based on experimental data from accelerated power-cycling tests performed at predefined temperature conditions as, for example, with swings above 60 °C. However, in real power converters applications, usually stressed not ex...

one of the fields of creation and practice expansion is an attempt to diversify and multiply melodic modules which can increase practical potentials in a musical system. the most fundamental element of a sonic- musical atmosphere (mode) is ambits of tone; in other words, it is a sequence of tones with specific frequency. therefore, melodic modules combination depends on acoustical features and ...

We describe the representation theory of finitely generated indecomposable modules over artin algebras which do not lie on cycles involving homomorphisms from infinite Jacobson radical module category.

in this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.

In this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.

The design guideline avoid dependency cycles among modules was first alluded to by Parnas in 1978. Many tools have since been built to detect cyclic dependencies among a program’s organisational units, yet we still see real applications riddled with large dependency cycles. Our solution to this problem is to proactively check for dependency cycles as a developer writes code. In this way a cycle...

The configuration management of a sensor network composed of tens or up to thousands of nodes is difficult due to the limit of memory space and energy consumption. This paper presents an approach for dynamic reconfiguration of application modules in sensor networks based on Nano-Qplus. The version information from proposed methods is registered into NVSync (Nano-Qplus Version Synchronization), ...

We define the notion of almost $n$-layered $QTAG$-modules and study their basic properties. One of the main result is that almost 1-layered modules are almost $(omega+1)$-projective exactly when they are almost direct sum of countably generated modules of length less than or equal to $(omega+1)$. Some other characterizations of this new class are also established.