Characterizations of Lattice Ordered Semigroups in Pre-A*_Algebras-A Math Technique in Communication Technology

Pre-A*- Lattices in which there is another associative binary operation that is compatible with the Pre-A*- lattice operations are identified as lattice ordered semigroups. This manuscript deals with the notion of lattice ordered semigroups in Pre-A*_Algebras and their characterizations are attained. Lattice theory and Lattice reduction math tools and their extensive and adaptive properties and methods are widely used in wireless systems like Wi-Fi, IoT etc. Automation or logical reasoning plays a crucial role in real world applications like machines (washing machine, television, refrigerator etc.), technology (wireless, Wi-Fi, Bluetooth etc.) and Robots etc. From an analytical point of view reasoning includes Boolean logic and its application.