Lattice Theory of Convolutions. A research on Lattice structures induced by convolutions

      Аннотация: The end of the 19th and the beginning of the 20th century saw a tremendous shift in the methodology of mathematics. Abstract algebra emerged around the start of the 20th century, under the name modern algebra. Over the last few decades, the development of abstract algebra played a vital role in the field of science and technology, in particular in the advancement of computer science and information technology. This book helps the students and researchers to build strong foundation in applied abstract algebra and enthuses researchers in further advancement of lattice theory, in particular various lattice structures induced by convolutions.

Ключевые слова: Convolution, filter, Ideal, lattice, Poset, Semi Lattice, Multiplicative, Prime Ideal, Prime Filter, Irreducible elements, Regular Convolution