A number of papers he wrote in the 1930s, culminating in his monograph, " Lattice Theory " ( 1940; the third edition remains in print ), turned lattice theory into a major branch of abstract algebra.
32.
A number of papers he wrote in the 1930s, culminating in his monograph, " Lattice Theory " ( 1940; the third edition remains in print ), turned lattice theory into a major branch of abstract algebra.
33.
"For 10 years after graduation my research efforts were largely devoted to an infant branch of algebra, which I christened the ` lattice theory, "'he wrote in the 25th annual report of his class at Harvard.
34.
Birkhoff's approach to this development of universal algebra and lattice theory acknowledged prior ideas of Charles Sanders Peirce, Ernst Schr�der, and Alfred North Whitehead; in fact, Whitehead had written an 1898 monograph entitled " Universal Algebra ".
35.
Ward's research interests included the study of recurrence relations and the divisibility properties of their solutions, diophantine equations including Euler's sum of powers conjecture and equations between monomials, abstract algebra, lattice theory and residuated lattices, functional equations and functional iteration, and numerical analysis.
36.
Depending on which features of general relativity and quantum theory are accepted unchanged, and on what level changes are introduced, there are numerous other attempts to arrive at a viable theory of quantum gravity, some examples being the lattice theory of gravity based on the Feynman path-integral based models of quantum cosmology.
37.
In his article " Restructuring Lattice Theory " ( 1982 ) initiating formal concept analysis as a mathematical discipline, Wille starts from a discontent with the current lattice theory and pure mathematics in general : The production of theoretical results-often achieved by " elaborate mental gymnastics "-were impressive, but the connections between neighbouring domains, even parts of a theory were getting weaker.
38.
In his article " Restructuring Lattice Theory " ( 1982 ) initiating formal concept analysis as a mathematical discipline, Wille starts from a discontent with the current lattice theory and pure mathematics in general : The production of theoretical results-often achieved by " elaborate mental gymnastics "-were impressive, but the connections between neighbouring domains, even parts of a theory were getting weaker.
