‎In this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎We show that if F is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ‎Rad(F)=F‎. ‎We proved the extension theorem for radical of filters in residuated lattices‎. ‎Also‎, ‎we study the radical‎ ‎of filters in linearly o...

?Sir,?To-day a patient came to hospital with the following unusual appearance. There was profound swelling of the abdomen, back, chest, neck, and face, which everywhere crepitated under pressure of the fingers without pitting. History :?12 days ago, the patient, a male of 20 years, had a sudden attack of pain and swelling in the right iliac and inguinal regions accompanied with obstinate vomiti...

Background Patients with secondary pneumothoraces generally have serious comorbid disease and poor pulmonary function and require that treatment be individualized. Though interventional treatments such as tube thoracostomy and pleurodesis are to be selected first, some cases become obstinate. Even though VATS treatment is attempted ultimately, sometimes it turned out to be inadequate for stapli...

treatment we adopted was constitutional, a carefurregulation of diet, and the ordinary local applications of zinc ointment zinc powder, &c. Under it he improved considerably, and the disease disappeared on the face, ear, and legs, but the patches on the hands and arms were most obstinate. Boracic acid in ointment and lotion, carbolic acid, zinc ointment, solution of acetate of lead, nitrate of ...

A bargainer uses “take it or leave it” offers to signal that he is not willing to make further concessions (commitment threat) and that he will leave the bargaining table unless his demand is accepted (exit threat). This paper investigates the impacts of these threats on rational negotiators’ equilibrium shares and behaviors in a bilateral negotiation. The threats are credible because the negot...

of two cases, which proved fatal at the dispensary since I have had medical charge of the G-aro Hills district. I would premise that the disease occurs most frequently in the lower hills bordering on the plains, and on low marshy localities. It usually begins as an ordinary paroxysmal fever, tending, however, to the remittent type. The symptoms in the beginning are rarely violent, but from bein...

Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study  some properties of absolute central automorphisms of a given finite $p$-group.

‎in this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎we show that if f is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ‎rad(f)=f‎. ‎we proved the extension theorem for radical of filters in residuated lattices‎. ‎also‎, ‎we study the radical‎ ‎of filters in linearly o...

Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and$Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two$tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplusN_2$ is $tau_M$-lifting. We investigate when homomorphic image of a $tau_M$-lifting moduleis $tau_M$-lifting.