0.1. General remarks. For any algebraic system A the set SubA of all subsystem...0.1. General remarks. For any algebraic system A the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases such as that of semigroups in order to have the right always...more
0.1. General remarks. For any algebraic system A the set SubA of all subsystem...0.1. General remarks. For any algebraic system A the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases such as that of semigroups in order to have the right always...more
0.1. General remarks. For any algebraic system A the set SubA of all subsystem...0.1. General remarks. For any algebraic system A the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases such as that of semigroups in order to have the right always...more
Lattice theory evolved as part of algebra in the nineteenth century through th...Lattice theory evolved as part of algebra in the nineteenth century through the work of Boole Peirce and Schröder and in the first half of the twentieth century through the work of Dedekind Birkhoff Ore von Neumann Mac Lane Wilcox Dilworth and...more
A partially ordered group is an algebraic object having the structure of a gro...A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way. These connections were established in the period between the end of 19th and...more
First developed in the early 1980s by Lenstra Lenstra and Lovász the LLL algo...First developed in the early 1980s by Lenstra Lenstra and Lovász the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer...more
Asymptotic Characteristics of Entire Functions andTheirApplications in Mathe...Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics is the second edition of the same book in Russian revised and enlarged. It is devoted to asymptotical questions of the theory of entire and...more
This monograph is a continuation of several themes presented in my previous bo...This monograph is a continuation of several themes presented in my previous books [146 149]. In those volumes I was concerned primarily with the properties of semirings. Here the objects of investigation are sets of the form RA where R is a semiring...more
While in classical (abelian) homological algebra additive functors from abelia...While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated non- abelian homological algebra deals with non-additive functors and their homological properties in...more
It seems hard to believe but mathematicians were not interested in integration...It seems hard to believe but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not aware of any publication concerning this theme although as...more
1. Interpolation problems play an important role both in theoretical and appli...1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5] [8) [13)-[16] [26)-[30] [57]). In this book we...more
Unlike most elementary books on matrices A Combinatorial Approach to Matrix Th...Unlike most elementary books on matrices A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory shedding new light on the subject by exploring the...more
Perturbations of Positive Semigroups with Applications is a self-contained int...Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book presents a survey of the...more
In his Retiring Presidential address delivered before the Annual Meeting of Th...In his Retiring Presidential address delivered before the Annual Meeting of The American Mathematical Society on December 1948 the late Professor Einar Hille spoke on his recent results on the Lie theory of semigroups of linear transformations . . -...more
The book contains a unitary and systematic presentation of both classical and ...The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized...more