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.

In this paper, first, we introduce the new concept of 2-inner product on Banach modules over a $C^*$-algebra. Next,  we present the concept of 2-linear operators over a $C^*$-algebra. Our result improve  the main result of the paper  Z. Lewandowska.  In the final of this paper, we define the notions 2-adjointable mappings between 2-pre Hilbert C*-modules and prove supperstability of them ...

In the present paper, by considering the notion of MV-modules which is the structure that naturally correspond to lu-modules over lu-rings, we prove some results on prime A-ideals and state some conditions to obtain a prime A-ideal in MV-modules. Also, we state some conditions that an A-ideal is not prime and investigate conditions that $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j...

We use the geometry of characteristic cycles of Harish-Chandra modules for a real semisimple Lie group GR to prove an upper triangularity relationship between two bases of each special representations of a classical Weyl group. One basis consists of Goldie rank polynomials attached to primitive ideals in the enveloping algebra of the complexified Lie algebra g; the other consists of polynomials...

We examined interactions between the spinal networks that generate right and left rostral scratch motor patterns in turtle hindlimb motoneurons before and after transecting the spinal cord within the anterior hindlimb enlargement. Our results provide evidence that reciprocal inhibition between hip circuit modules can generate hip rhythmicity during the rostral scratch reflex. "Module" refers he...

The purpose of this paper was to see whether any significant relationship exists among EFL learners’ autonomy, left/right brain dominance, and reading comprehension of the Academic Reading and General Reading Modules of IELTS examination. To this end, 100 female EFL learners were randomly selected from those who were attending IELTS preparatory courses at a language school in Tehran. All partic...

In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^ast-$modules. Moreover, we obtain so...

Consideration of the Current-voltage (I-V) characteristics variations of solar modules with temperature and irradiations variations is basic for maximum power point tracking (MPPT). Having a simple and accurate mathematical model for the optimize utilization of the solar modules is essential. In this paper, a novel modeling of photovoltaic systems with novel coefficients is proposed for mathema...

Consideration of the Current-voltage (I-V) characteristics variations of solar modules with temperature and irradiations variations is basic for maximum power point tracking (MPPT). Having a simple and accurate mathematical model for the optimize utilization of the solar modules is essential. In this paper, a novel modeling of photovoltaic systems with novel coefficients is proposed for mathema...

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)leq 1$, multiplication modules are precisely cyclic or isomorphic to an invertible ideal of $R$. Moreover, we give a charac...