We introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. We firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. We next argue about the strong$alpha$-reversibility of some kinds of extensions. A number ofproperties of this version are established. It is shown ...

Motivated by the Rudnick-Sarnak theorem we study limiting distribution of smoothed local correlations form $$ \sum_{j_1, j_2, \ldots, j_n} f(N\*(\theta_{j_2}-\theta_{j_1}), N\*(\theta_{j_3}-\theta_{j_1}), N\*(\theta_{j_n}-\theta_{j_1}))$$ for Circular United Ensemble random matrices sufficiently smooth test functions.

background: beta-adrenergic blocking agents have been broadly used for treatment of many cardiovascular diseases such as arterial hypertension and ischemic heart failure. anti-tumoral, anti-inflammatory and anti-angiogenesis effects of propranolol (a non-selective beta-adrenergic blocker) have been shown. angiogenesis (replenish of the pre-existing vascular networks) plays a critical role in so...

there are emerging data on novel tumor markers such as matrix metalloproteinase-2 (mmp-2 or gelatinase-a), which play a key role in tissue invasion and metastasis. we designed an investigation to assess the usefulness of mmp-2 activity as compared to prostate specific antigen (psa) in cancer staging process. we have analyzed the circulating form of mmp-2 in serum samples of patients suffering f...

It is shown that a commutative Bézout ring R with compact minimal prime spectrum is an elementary divisor ring if and only if so is R/L for each minimal prime ideal L. This result is obtained by using the quotient space pSpec R of the prime spectrum of the ring R modulo the equivalence generated by the inclusion. When every prime ideal contains only one minimal prime, for instance if R is arith...

It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnected maximal spectrum. It is shown that each indecomposable module over a commutative ring R satisfies a finite condition if and only if R P is an artinian valuation ring for each maximal prime ideal P. Commutative rings for which each indecomposable module has a local endomorphism ring are studied...