let $r$ be a commutative ring with identity and $m$ be a unitary$r$-module. the primary-like spectrum $spec_l(m)$ is thecollection of all primary-like submodules $q$ such that $m/q$ is aprimeful $r$-module. here, $m$ is defined to be rsp if $rad(q)$ isa prime submodule for all $qin spec_l(m)$. this class containsthe family of multiplication modules properly. the purpose of thispaper is to intro...

A graph is subeulerian if it is spanned by an eulerian supergraph. Boesch, Suffel and Tindell have characterized the class of subeulerian graphs and determined the minimum number of additional lines required to make a subeulerian graph eulerian. In this paper, we consider the related notion of a subsemi-eulerian graph, i.e. a graph which is spanned by a supergraph having an open trail containin...

Let $R$ be a commutative ring with identity and $M$ be a unitary$R$-module. The primary-like spectrum $Spec_L(M)$ is thecollection of all primary-like submodules $Q$ such that $M/Q$ is aprimeful $R$-module. Here, $M$ is defined to be RSP if $rad(Q)$ isa prime submodule for all $Qin Spec_L(M)$. This class containsthe family of multiplication modules properly. The purpose of thispaper is to intro...

Realization of a multilayer photonic process, as well co-integration large number and electronic components on single substrate, presents many advantages over conventional solutions opens pathway for various novel architectures applications. Despite the potential advantages, realization complex process compatible with low-cost CMOS platforms remains challenging. In this paper, platform is inves...

This paper is foremost about experiments in embodying a transformative narrative of self that makes possible mutual collaborative practice with others. The focus less on what we ought to think or do, but rather subtracting, letting go, self-identities are no longer fit for purpose. We refer this as subtractive awareness by which mean becoming aware obstacles inhibit creative action In time when...