The commutant lifting theorem of Sz.Nagy and Foiaş [22, 21] is a central result in the dilation theory of a single contraction. It states that if T ∈ B(H) is a contraction with isometric dilation V acting on K ⊃ H, and TX = XT , then there is an operator Y with ‖Y ‖ = ‖X‖, V Y = Y V and PHY = XPH. This result is equivalent to Ando’s Theorem that two commuting contractions have a joint (power) d...

Let $R$ be a commutative Noetherian ring with non-zero identity, $fa$ an ideal of $R$, and $X$ an $R$--module. Here, for fixed integers $s, t$ and a finite $fa$--torsion $R$--module $N$, we first study the membership of $Ext^{s+t}_{R}(N, X)$ and $Ext^{s}_{R}(N, H^{t}_{fa}(X))$ in the Serre subcategories of the category of $R$--modules. Then, we present some conditions which ensure the exi...

let r be a ring,  be an endomorphism of r and mr be a -rigid module. amodule mr is called quasi-baer if the right annihilator of a principal submodule of r isgenerated by an idempotent. it is shown that an r-module mr is a quasi-baer module if andonly if m[[x]] is a quasi-baer module over the skew power series ring r[[x; ]].

A efficient VLSI based architecture is proposed in this paper for implementation Discrete Wavelet Transform (DWT) of 5/3 filter. The proposed architecture includes transforms modules, a RAM and bus interfaces. This architecture works in non separable fashion using a serial-parallel filter with distributed control to compute all the DWT (1D-DWT and 2D-DWT) resolution levels. KeywordsDiscrete Wav...

Automorph class theory formalism is developed for the case of integral nonsingular quadratic forms in an odd number of variables. As an application, automorph class theory is used to construct a lifting of similitudes of quadratic Z-modules of arbitrary nondegenerate ternary quadratic forms to morphisms between certain subrings of associated Clifford algebras. The construction explains and gene...

A major part of this paper is devoted to an in-depth study j -operators and their properties. This enables us obtain several results on liftings weak DG modules along simple extensions algebras unify the proofs existing obtained by authors these subjects. Finally, we provide a new characterization (weak) lifting property algebras.

Abstract In this study, inspired by the definition and a previous study [F. Eryılmaz, SS-lifting modules rings , Miskolc Math. Notes 22 (2021), no. 2, 655–662], left Harada are adapted to ss-Harada rings, important properties of these provided. The characterization ring R R with perfect Rad</...

manual material handling is identified as one of the musculoskeletal disorders risk factors. the aims of this study were to evaluate lifting activities by niosh equation and mac method and the correlation of these two methods. this cross-sectional study was conducted in a rubber industry. studied subjects were 136 male workers selected from various sections by proportional-to size sampling meth...