Abstract In this work, the separation of variables approach is employed to investigate and assess analytical stream function solutions for two‐dimensional incompressible couple stress fluid flow. The suggested method involves transforming governing partial differential equations (PDEs) flow into ordinary (ODEs) by assuming that solution may be written as an addition two functions, each based on a single variable. Without imposing any particular boundary requirements intended model, study...

<p>The aim of this research paper was to explore the various characteristics doubly warped product manifold, focusing particularly on aspects such as Hessian, Riemannian curvature, Ricci and concircular curvature tensor components. By examining necessary conditions that would classify manifold Riemann-flat, Ricci-flat, concircularly-flat, study aimed expand our understanding these concepts. To achieve this, incorporated application findings a generalized Robertson-Walker scenario. This...

A module over an associative ring with unity is a -module if every finitely generated submodule of any homomorphic image direct sum uniserial modules. There are many fascinating concepts related to these Here we introduce the notion -layered -modules and discuss some interesting properties We show that only module, whenever integer.

This article has been retracted. Please see https://doi.org/10.1186/s42787-019-0041-x

Abstract The Molodtsov-conceived concept of soft sets provides a robust mathematical approach for managing uncertainty. This study explores the positive outcomes resulting from application set theory techniques, paving way innovative research methodologies in multiplicative ideal theory. paper delves into operations that lead to themselves within realm undeniable fractional ideals. Introducing notion star-ideals, we illustrate construction complete lattice derived collection all...

The aim of this paper is twofold, we propose an extension to the split generalized mixed equilibrium problem firstly and introduce iterative method based on a hybrid extragradient method. goal efficiently find common solution for both fixed point concerning nonexpansive mapping within context real Hilbert spaces. We conduct thorough analysis proposed establish strong convergence theorem under certain mild conditions. Moreover, present various implications derived from our main result...

This study presents new fuzzy adaptations of Ostrowski’s integral inequalities through a novel class convex fuzzy-valued mappings defined over harmonic set, avoiding the use Sugeno integral. These innovative generalize recently developed interval forms real-valued Ostrowski inequalities. Their formulations incorporate integrability concepts for (FVMs), applying Kaleva and Kulisch–Miranker order relation. The relation is constructed via level-wise approach based on within number space....

<p>The integration of internationally sustainable practices into supply chain management methodologies is known as "green management". Reducing the chain's overall environmental impact main objective in order to improve corporate connections and social, ecological, economic ties with other nations. To accomplish appropriate accurate measures address issue emergency decision-making, paper divided three major sections. First, $ \left(p, q\right) $-fractional linear Diophantine fuzzy set...

In the present research paper, we look into quasi bi-slant conformal $\xi^{\perp}$-submersions from Kenmotsu manifolds onto Riemannian as a generalisation of hemi-slant submersions. We investigate geometry distributions's leaves in order to explain integrability conditions for distributions. Furthermore, study certain decomposition theorems, additionaly provide non-trivial examples manifolds. also at $\phi$-pluriharmonicity $\xi^{\perp}$-submersions.

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image direct sum uniserial modules. In this paper we investigate the class QTAG-modules whose separable modules; such modules are called ω-totally ω-projective. We discuss interesting characterization and show that (ω+n)-totally (ω+n)-projective contains ω-projective

Abstract Mehdi studied ( ω + k )-projective QTAG -modules with the help of their submodules contained in H M ) (the submodule generated by elements exponents at most ). These modules contain nice N such that / is a direct sum uniserial modules. Here, we investigate class "Equation missing"<!-- image only, no MathML or LaTex --> -modules, containing ⊆ totally projective. We also study strong -elongation projective -modules.

A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image direct sum uniserial modules. In this paper we find suitable condition under which special ω-elongation summable by ( ω +k)-projective also QTAG-module.

&lt;abstract&gt;&lt;p&gt;In this paper, we generalize a suitable transformation from an element-based to submodule-based interpretation of the traditional idea transitivity in QTAG modules. We examine modules that are transitive sense module has automorphism sends one isotype submodule $ K onto any other K' $, unless is impossible because either submodules or quotient not isomorphic. Additionally, classes strongly and U $-transitive defined using slight adaptations this. This work...

Abstract In this paper, we define a condition termed as cohesiveness on submodule N of the socle QTAG-module M , which is necessary for to be an isotype . It proved here that countably generated both necesaary and sufficient. We further restricted called completely shows sufficient subsocle T supports balanced

A module <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:math> over an associative ring id="M2"><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:math> with unity is a id="M3"><mml:mi>Q</mml:mi><mml:mi>T</mml:mi><mml:mi>A</mml:mi><mml:mi>G</mml:mi></mml:math>-module if every finitely generated submodule of any homomorphic image id="M4"><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:math> direct sum uniserial modules. The study large...

In this paper we introduce the new class of QTAG-modules namely $\omega_1$-$(\omega+n)$-projective modules, which is an amalgamation three important classes modules: $n$-bounded direct sum uniserial modules and countably generated modules. This given many equivalent characterizations including being smallest containing $(\omega+n)$-projective that closed with respect to $\omega_1$-bijective homomorphisms.

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image direct sum uniserial modules. Recently, the authors introduced classes QTAG-modules namely as socle-regular and strongly which properly contain transitive fully respectively. Here we define quasi transitivities study inter relations between various type transitivities.