With the rapid development of modern microelectronic technology, wireless communication technology, signal processing technology, and computer network technology, wireless sensor networks (WSNs) has become one of the most important and the most basic technologies of information access (Jennifer Yick, 2008). WSNs have been widely used in military, environment monitoring, medicine care and transp...

‎In this paper we take $mathcal A$ to be the category {bf Pos-S}‎ ‎of $S$-posets‎, ‎for a posemigroup $S$‎, ${mathcal M}_{pd}$ to‎ ‎be the class of partially ordered sequantially-dense‎ ‎monomorphisms and study the categorical properties‎, ‎such as‎ ‎limits and colimits‎, ‎of this class‎. ‎These properties are usually‎ ‎needed to study the homological notions‎, ‎such as injectivity‎, ‎of‎ ‎$S$-...