in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.

a topoframe, denoted by $l_{ tau}$,  is a pair $(l, tau)$ consisting of a frame $l$ and a subframe $ tau $ all of whose elements are complementary elements in$l$. in this paper, we define and study the notions of a$tau $-real-continuous function on a frame $l$ and the set of realcontinuous functions $mathcal{r}l_tau $ as an $f$-ring.we show that $mathcal{r}l_{ tau}$is actually a generalization ...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. also provide examples oriented graphs that have non-Cohen-Macaulay vertex-weighted ideals, while the ideal their underlying graph is Cohen-Macaulay. This disproves a conjecture posed by Pitones, Reyes, Toledo.

UNMIXED SIGNALS: HOW REPUTATION AND STATUS AFFECT ALLIANCE FORMATION ITHAI STERN,* JANET M. DUKERICH, and EDWARD ZAJAC 1 Management and Organizations Department, Kellogg School of Management, Northwestern University, Evanston, Illinois, U.S.A. 2 Management Department, McCombs School of Business, University of Texas at Austin, Austin, Texas, U.S.A. 3 Management and Organizations Department, Nort...

globalisation has given birth to medical tourism. health and medical tourism are the fastest growing seg­ments in not only developed nations but in developing countries too. india has become a hot des­tina­tion, as the indian medical standards match up to the highly prescribed international standards at a very low cost. however, it is an unmixed blessing; along with advantages, it has many unin...

A necessary and sufficient condition on the support of a generic unmixed bivariate polynomial system is identified such that for polynomial systems with such support, the Dixon resultant formulation produces their resultants. It is shown that Sylvester-type matrices, called Dixon dialytic matrices, can also be obtained for such polynomial systems. These results are shown to be a generalization ...

Abstract Aichinger’s equation is used to give simple proofs of several well-known characterizations polynomial functions as solutions certain functional equations. Concretely, we use that characterizes solve, for arbitrary commutative groups, Ghurye–Olkin’s equation, Wilson’s the Kakutani–Nagumo–Walsh and a general version Fréchet’s unmixed equation.

We give a unified approach to weighted mixed-norm estimates and solvability for both the usual time fractional parabolic equations in nondivergence form when coefficients are merely measurable variable. In spatial variables, leading locally have small mean oscillations. Our results extend previous result [5] unmixed Lp-estimates without weights.