Algebra and number theory are two powerful, established branches of modem mathematics at the forefront of current mathematical research which are playing an increasingly significant role in different branches of mathematics (for instance, in geometry, topology, differential equations, mathematical physics, and others) and in many relatively new applications of mathematics such as computing, communications, and cryptography. Algebra also plays a role in many applications of mathematics in diverse areas such as modem physics, crystallography, quantum mechanics, space sciences, and economic sciences.