We study reversible polymerization of rings. In this stochastic process, two monomers bond and, as a consequence, two disjoint rings may merge into a compound ring or a single ring may split into two fragment rings. This aggregation-fragmentation process exhibits a percolation transition with a finite-ring phase in which all rings have microscopic length and a giant-ring phase where macroscopic...

In this work, we focus on reversible cyclic codes which correspond to reversible DNA codes or reversible-complement DNA codes over a family of finite chain rings, in an effort to extend what was done by Yildiz and Siap in [20]. The ring family that we have considered are of size 2 k , k = 1, 2, · · · and we match each ring element with a DNA 2k−1-mer. We use the so-called u-adic digit system to...

Bronchial rings from nonatopic humans were passively sensitized with serum from allergic subjects. Allergen challenge significantly reduced the relaxant effect of salbutamol on carbachol-induced contractions, suggesting beta(2)-adrenoceptor (beta(2)-AR) pathway dysfunction. Incubation of challenged rings for 3 h with 3 x 10(-6) M beclomethasone dipropionate (BDP) restored the relaxant effect, s...

An element of a group is reversible if it is conjugate to its own inverse, and it is strongly reversible if it is conjugate to its inverse by an involution. A group element is strongly reversible if and only if it can be expressed as a composite of two involutions. In this paper the reversible maps, the strongly reversible maps, and those maps that can be expressed as a composite of involutions...

 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 o...

In this paper, we present many new characterizations of strongly EP elements in rings with involution. We especially investigate the by constructing certain equations and considering solutions equations, revealing existence general some binary that play a role characterizing elements. Proofs relevant conclusions are also given.

We construct strongly walk-regular graphs as coset of the duals codes with three non-zero homogeneous weights over $${\mathbb {Z}}_{p^m},$$ for p a prime, and more generally chain rings depth m, residue field size q, prime power. In case $$p=m=2,$$ strong necessary conditions ( diophantine equations) on weight distribution are derived, leading to partial classification in modest length. Infinit...

We characterize all Gorenstein rings generated by strongly stable sets of monomials degree two. compute their Hilbert series in several cases, which also provides an answer to a question Migliore and Nagel.