In [15], Kaplansky introduced Baer rings as rings in which every right (left) annihilator ideal is generated by an idempotent. According to Clark [9], a ring R is called quasi-Baer if the right annihilator of every right ideal is generated (as a right ideal) by an idempotent. Further works on quasi-Baer rings appear in [4, 6, 17]. Recently, Birkenmeier et al. [8] called a ring R to be a right (...

INTRODUCTION The respiratory variation in pulse pressure (PP) has been established as a dynamic variable of cardiac preload which indicates fluid responsiveness in mechanically ventilated patients. The impact of acute changes in cardiac performance on respiratory fluctuations in PP has not been evaluated until now. We used cardiac resynchronization therapy as a model to assess the acute effects...

A ringR is called generalized right Baer if for any non-empty subset S of R, the right annihilator rR(S ) is generated by an idempotent for some positive integer n. Generalized Baer rings are special cases of generalized PP rings and a generalization of Baer rings. In this paper, many properties of these rings are studied and some characterizations of von Neumann regular rings and PP rings are ...

PURPOSE Understanding the anatomy of the pterygomaxillary junction region helps prevent blood loss in Le Fort I osteotomy. Here, we determined the location of the descending palatine artery and the structure of the pterygomaxillary region. PATIENTS AND METHODS The study group consisted of 82 Japanese patients with mandibular prognathism and asymmetry, with and without maxillary retrognathism ...

by R. IW. Handfield-Jones, M.C., M.S., F.^, and A. E. Porrltt, M.A., M.Ch., F.R.C.S. 1jf s S" L'vlnQstone, Edinburgh. Pp. xV1_.^irl1126, with B01 illustrations. Price, 30s. ? ^,ny able from Messrs. Butterworth and ComP (India), Limited, Calcutta. Price, Rs. 20 Textbooks tend to run in cycles. There is a spate of textbooks on some subject, then a period ^ tnese books run through numerous edition...

1. W. Ambrose, Structure theorem for a special class of Banach algebras, Trans. Amer. Math. Soc. vol. 57 (1945) pp. 364-386. 2. N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math, vol. 67 (1945) pp. 300-320. 3. I. Kaplansky, Dual rings, Ann. of Math. vol. 49 (1948) pp. 689-701. 4. L. H. Loomis, An introduction to harmonic analysis, New York, Van Nostrand, 1953, pp. ...

A ring R is called a left APP-ring if the left annihilator lR(Ra) is right s-unital as an ideal of R for any element a ∈ R. We consider left APP-property of the skew formal power series ring R[[x;α]] where α is a ring automorphism of R. It is shown that if R is a ring satisfying descending chain condition on right annihilators then R[[x;α]] is left APP if and only if for any sequence (b0, b1, ....

The suboccipital segment of the vertebral artery (VA) passes around the lateral mass of atlas (C1). It is located in a groove on the superior surface of the arch of C1, the so-called vertebral artery sulcus (VAS). Occasionally, a small bony arch is found to connect the retroglenoid tubercle with the posterior arch of C1. This anatomical structure is known as ponticulus posticus (PP). The partia...

BACKGROUND AND PURPOSE Cavernous sinuses and draining dural sinuses or veins are often visualized on 3D TOF MRA images in patients with dural arteriovenous fistulas involving the CS. Flow signals may be seen in the jugular vein and dural sinuses at the skull base on MRA images in healthy participants, however, because of reverse flow. Our purpose was to investigate the prevalence of flow signal...

The left-right symmetric model may present evidence of new physics at the era Large Hadron Collider (LHC). We use its framework to investigate lepton number violating process $pp \to e^\pm jj+X$ $\unit[14]{TeV}$ LHC. show that for an integrated luminosity $\unit[300]{fb^{-1}}$, discovery contour right-handed boson $W_R$ and electron neutrino $N_e$ as a result W^\pm_R N jj$ can be expanded upon ...