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Digital Electronics Notice Board is used in public utility places like institutions, organizations, college campus, railway stations, etc. Nowadays, displaying various data on paper notice boards has become difficult and time-consuming. The idea behind the proposed system is to deliver a simple but dependable and constant system to the users, which they could use for putting up important notice and notification on LCD display and the user can simply send a message which will be displayed on LCD display. The projected system allows people to convey notice data on a digital notice board using their mobile phones. The system uses LPC 2148 microcontroller based on 32-bit ARM, a GSM SIM 900 module and a user interface for the android application. The device can work anywhere where mobile network connectivity is available. [ABSTRACT FROM AUTHOR]

Abstract In this paper, we attempt to study the structure of multiplicative Lie algebras, the theory of extensions, the second cohomology groups of multiplicative Lie algebras, and in turn the Schur multipliers. The Schur–Hopf formula is established for multiplicative Lie algebras. We also introduce the group of nontrivial relations satisfied by the Lie product in a multiplicative Lie algebra, and study it as a functor arising from the presentations of multiplicative Lie algebras. Some applications in K-theory are also discussed. [ABSTRACT FROM AUTHOR]

AbstractThis paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoroughly examine their relationships with capable and perfect multiplicative Lie algebras. [ABSTRACT FROM AUTHOR]

In this article, we explore several properties of the algebraic fundamental group of a ring and give a surjective group homomorphism from the algebraic fundamental group of the field of real numbers to the group of integers. At the end of the paper, we also propose some problems related to the algebraic fundamental group of some particular rings. [ABSTRACT FROM AUTHOR]