let $r$ be an associative ring with identity and $z^*(r)$ be its set of non-zero zero divisors.  the zero-divisor graph of $r$, denoted by $gamma(r)$, is the graph whose vertices are the non-zero  zero-divisors of  $r$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$.  in this paper, we bring some results about undirected zero-divisor graph of a monoid ring ov...

Desarguesian projective planes of square order are characterized by the property that every quadrangle lies on a unique Baer subplane.

We discuss issues related to constructing an orthomodular structure from an object in a category. In particular, we consider axiomatics related to Baer *-semigroups, partial semigroups, and various constructions involving dagger categories, kernels, and biproducts.

We present a characterisation of { 1(q+1)+ 0, 1;n, q}-minihypers, q square, q = ph, p > 3 prime, h ≥ 2, q ≥ 1217, for 0+ 1 < q 7/12 2 − q1/4 2 . This improves a characterisation result of S. Ferret and L. Storme [6], involving more Baer subgeometries contained in the minihyper.

Application startup latency has become a performance problem for both desktop applications and web applications. In this paper, we show that much of the latency experienced during application startup can be avoided by more e ciently packing application code pages. To take advantage of more e cient packing, we describe the implementation of demand paging for web applications. Finally, we show th...