‎A module $M$ is lifting if and only if $M$ is amply supplemented and‎ ‎every coclosed submodule of $M$ is a direct summand‎. ‎In this paper‎, ‎we are‎ ‎interested in a generalization of lifting modules by removing the condition‎"‎amply supplemented‎" ‎and just focus on modules such that every non-cosingular‎ ‎submodule of them is a summand‎. ‎We call these modules NS‎. ‎We investigate some gen...

This is a continuation of previous study initiated by one us on nonlocal vertex bialgebras and smash product algebras. In this paper, we notion right $H$-comodule algebra for bialgebra $H$ give construction deformations algebras with structure compatible $H$-module structure. We also $\phi$-coordinated quasi modules As an example, family quantum deforming the associated to non-degenerate even l...

An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...

Let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $R$.  In this paper we  study the relationship between an$R$-module $M_R$ and the  general polynomial module  $M[x]$ over theskew polynomial ring $R[x;alpha,delta]$. We introduce the notionsof skew-Armendariz modules and skew quasi-Armendariz modules whichare generalizations of $alpha$-Armendariz modules and extend thecla...

The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.

Diagnostic assessment aims to identify students' competencies, weaknesses, and strengths. The results are used by educators as a reference in planning learning according the needs of students. adequacy diagnostic was assessed through analytical activities. This study determine effectiveness prepared three teaching modules, namely negotiating text module for SMA Negeri 4 Palembang, 2 Ungaran, 1 ...

Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of players' “trembles” onto different strategies. These capture idea that trembles correspond to deliberate experiments by agents who are unsure prevailing distribution play. PCE selects intuitive equilibria in a number examples where trembling-hand perfect equilibrium (Selten, 1975) and proper (Myerson, 197...

While the power conversion efficiency (PCE) of organic photovoltaics (OPV) on small‐area lab cells has rapidly increased during last few years, performance module level and availability OPV modules market is still limited, primarily due to specific constraints imposed by industrial production process. This work deals with upscaling process latest‐generation from fully solution‐processed modules...

We introduce a notion of strongly C×-graded, or equivalently, C/Zgraded generalized g-twisted V -module associated to an automorphism g, not necessarily of finite order, of a vertex operator algebra. We also introduce a notion of strongly C-graded generalized g-twisted V -module if V admits an additional C-grading compatible with g. Let V = ∐ n∈Z V(n) be a vertex operator algebra such that V(0)...