… -submodule of RΓ-module besides some of its basic properties. In this paper, Z-prime RΓ-submodule
of RΓ-module and … Z- prime RΓ-submodule with other RΓ-modules is investigated. …

We compare the homology of a congruence subgroup Γ of GL 2 ( Z ) with coefficients in the
Steinberg modules over Q and over E, where E is a real quadratic field. If R is any …

… Specht module, |$\mathbb{S}^{\lambda }$|⁠, appears with positive multiplicity in the isotypic
decomposition of the cohomology modules … we consider homology or cohomology modules. …

… From the homological algebra perspective, one of the easiest definitions is the following:
given an ideal a in a commutative ring, for each module we consider the submodule of …

By analogy with the Choi matrix we associate an operator $$C_{\varphi }\in \mathrm{B}({\mathscr
{H}})$$ C φ ∈ B ( H ) to each weak* continuous $${\mathscr {A}}$$ A -bimodule map $$…

… Our result can be applied to the category Mod Λ of right modules over a right noetherian
ring Λ. In this case, the molecular properties are interpreted as the properties of the ring: …

… R-module Z is called hollow (HRM), if every proper submodule … submodule S of Z is called
coclosed if for each submodule L … The R-module Z is CP module if every cyclic submodule of Z …

… Then B is called a linear code of length β over R if B forms an R-submodule of R β . From …
R[x,Θ]-module with the above multiplication. In this context of module structure, we present the …

… Z α ′ ′ $Z^\prime _{\alpha ^\prime }$ on B $\mathbb {B}$ , we say that Z α $Z_\alpha$ is
contained in Z α ′ ′ $Z^\prime _{\alpha ^\prime }$ if Z ⩽ Z ′ $Z\leqslant Z^\prime$ and there …

… Finally, we describe Iwasawa’s (algebraic) construction via Galois modules over the Iwasawa
algebra. The Iwasawa Main conjecture, now a theorem due to Mazur and Wiles, says that …