abstract. let r be a 2-torsion free ring with identity. in this paper, first we prove that any jordan left derivation (hence, any left derivation) on the full matrix ringmn(r) (n  2) is identically zero, and any generalized left derivation on this ring is a right centralizer. next, we show that if r is also a prime ring and n  1, then any jordan left derivation on the ring tn(r) of all n×n up...

‎let $mathcal{a}$ be a unital banach algebra‎, ‎$mathcal{m}$ be a left $mathcal{a}$-module‎, ‎and $w$ in $mathcal{z}(mathcal{a})$ be a left separating point of $mathcal{m}$‎. ‎we show that if $mathcal{m}$ is a unital left $mathcal{a}$-module and $delta$ is a linear mapping from $mathcal{a}$ into $mathcal{m}$‎, ‎then the following four conditions are equivalent‎: ‎(i) $delta$ is a jordan left de...

background: early diagnosis of left ventricular mass (lvm) inappropriateness and left ventricular hypertrophy   (lvh) can result in preventing diastolic left ventricular dysfunction and its related morbidity and mortality. this study was performed to determine if diastolic dysfunction   is associated with lvh and inappropriate lvm. methods: one hundred   and twenty five uncomplicated hypertensi...

recognition of the natural history and responsible leading factors for regression of left ventricular hypertrophy after successful renal transplantation are very important. the aim of this study was to assess the regression of left ventricular hypertrophy after successful renal transplantation among uremic patients. in this study 27 uremic patients (18 males and 9 females) with an average age o...

conclusions these findings emphasize the potential clinical benefits of therapeutic procedures such as cardiac resynchronization therapy (crt) or apex-sparing volume-reduction surgery in dcm. a better definition of the role and implications of reverse apical torsion in dcm and its importance and effectiveness in making therapeutic decisions like crt implantation requires further studies. case p...

introduction left ventricular (lv) twist is believed to store potential energy and plays an important role in generating diastolic suction. recent advances in echocardiography techniques have allowed quantification of lv twist. the aim of the present study was to compare lv twist and torsion in healthy human subjects determined by velocity vector imaging (vvi) and tissue doppler imaging (tdi) a...

‎Let $mathcal{A}$ be a unital Banach algebra‎, ‎$mathcal{M}$ be a left $mathcal{A}$-module‎, ‎and $W$ in $mathcal{Z}(mathcal{A})$ be a left separating point of $mathcal{M}$‎. ‎We show that if $mathcal{M}$ is a unital left $mathcal{A}$-module and $delta$ is a linear mapping from $mathcal{A}$ into $mathcal{M}$‎, ‎then the following four conditions are equivalent‎: ‎(i) $delta$ is a Jordan left de...