scholarly journals Multiplicative Ideal Theory. by R. W. Gilmer. Queen's Paper on Pure and Applied Mathematics No. 12. Queen's Univ., Kingston, Ontario (1968). vii+ 700 pp.

1970 ◽  
Vol 13 (3) ◽  
pp. 407-407
Author(s):  
W. Burgess
Keyword(s):  
Applied Mathematics ◽  
Ideal Theory

Two applications of Nagata rings and modules

2019 ◽  
Vol 19 (06) ◽  
pp. 2050115
Author(s):  
Fanggui Wang ◽  
Lei Qiao
Keyword(s):  
New York ◽  
Commutative Ring ◽  
Applied Mathematics ◽  
Torsion Theory ◽  
Ideal Theory ◽  
Star Operation ◽  
Text Version ◽  
Commutative Theory ◽  
Coherent Rings ◽  
Relative Invariants

Let [Formula: see text] be a finite type hereditary torsion theory on the category of all modules over a commutative ring. The purpose of this paper is to give two applications of Nagata rings and modules in the sense of Jara [Nagata rings, Front. Math. China 10 (2015) 91–110]. First they are used to obtain Chase’s Theorem for [Formula: see text]-coherent rings. In particular, we obtain the [Formula: see text]-version of Chase’s Theorem, where [Formula: see text] is the classical star operation in ideal theory. In the second half, we apply they to characterize [Formula: see text]-flatness in the sense of Van Oystaeyen and Verschoren [Relative Invariants of Rings-The Commutative Theory, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 79 (Marcel Dekker, Inc., New York, 1983)].

Practical Applied Mathematics

2005 ◽  
Author(s):  
Sam Howison
Keyword(s):  
Applied Mathematics

Utopophobia

2019 ◽  
Author(s):  
David Estlund
Keyword(s):  
Political Philosophy ◽  
Social Justice ◽  
Political Thought ◽  
Political Action ◽  
Ideal Theory ◽  
Theory Of Justice ◽  
Sound Theory ◽  
Theory Versus ◽  
History Of ◽  
Practical Guidance

Throughout the history of political philosophy and politics, there has been continual debate about the roles of idealism versus realism. For contemporary political philosophy, this debate manifests in notions of ideal theory versus nonideal theory. Nonideal thinkers shift their focus from theorizing about full social justice, asking instead which feasible institutional and political changes would make a society more just. Ideal thinkers, on the other hand, question whether full justice is a standard that any society is likely ever to satisfy. And, if social justice is unrealistic, are attempts to understand it without value or importance, and merely utopian? This book argues against thinking that justice must be realistic, or that understanding justice is only valuable if it can be realized. The book does not offer a particular theory of justice, nor does it assert that justice is indeed unrealizable—only that it could be, and this possibility upsets common ways of proceeding in political thought. The book's author engages critically with important strands in traditional and contemporary political philosophy that assume a sound theory of justice has the overriding, defining task of contributing practical guidance toward greater social justice. Along the way, it counters several tempting perspectives, including the view that inquiry in political philosophy could have significant value only as a guide to practical political action, and that understanding true justice would necessarily have practical value, at least as an ideal arrangement to be approximated. Demonstrating that unrealistic standards of justice can be both sound and valuable to understand, the book stands as a trenchant defense of ideal theory in political philosophy.

Topics in Quaternion Linear Algebra

2014 ◽  
Author(s):  
Leiba Rodman
Keyword(s):  
Linear Algebra ◽  
Complex Analysis ◽  
Dimensional Space ◽  
Applied Mathematics ◽  
Three Dimensional ◽  
Number System ◽  
Graduate Course ◽  
Open Problems ◽  
Unpublished Research ◽  
Reference Tool

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

On the 40th Anniversary of the Department for Applied Mathematics: Investigations and Developments in the Fields of Education, Programming, Information Technologies and Artificial Intelligence

2017 ◽  
pp. 117-128 ◽  
Author(s):  
Vadim N. Vagin ◽  
◽  
Aleksandr P. Eremeev ◽  
Vitaly P. Kutepov ◽  
Vadim N. Falk ◽  
...  
Keyword(s):  
Artificial Intelligence ◽  
Information Technologies ◽  
Applied Mathematics ◽  
40Th Anniversary

Fundamental Research in Applied Mathematics.

1984 ◽  
Author(s):  
F. W. J. Olver
Keyword(s):  
Applied Mathematics ◽  
Fundamental Research

Research in Applied Mathematics Ralated to Identification of Noisy Systems

1988 ◽  
Author(s):  
Rudolf E. Kalman
Keyword(s):  
Applied Mathematics
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