ring theory


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ring theory

[′riŋ ‚thē·ə·rē]
(mathematics)
The study of the structure of rings in algebra.
References in periodicals archive ?
The proceedings of the June 2017 conference collects recent research on ring theory, module theory, coding theory, and related problems.
An important consequence of above theorem is the following immediate in Neutrosophic rings which we state as a theorem in view of its importance throughout our study of Neutrosophic ring theory. Theorem.4.3 If [R.sup.x] [congruent to] [S.sup.x] then N([R.sup.x], I) [congruent to] N([S.sup.x], I).
I urge both of you to read up on psychologist Susan Silk's "ring theory," which establishes a (wonderfully phrased) "kvetching order": comfort in, dump out (http://bit.ly/RingInOut).
Faith, Algebra II: Ring Theory, Springer-Verlag, Berlin, 1976.
There is also a program towards a proof of the Atiyah Conjecture based on the Farrell-Jones Conjecture and ring theory. Furthermore, I want to attack open problems such as the approximation of L^2-torsion for towers of finite coverings, and the relation of the first L^2-Betti number, the cost and the rank gradient of a finitely generated group.
Matsumura Commutative Ring Theory Cambridge tudies in Advanced Mathematics 8 Cambridge University Press(1986).
The ring theory got a boost from an analysis of Cassini images by Erika Lopez Garcia of Brown University in Providence, R.I., and colleagues, lapetus' ridge has steep slopes, a clue that the mountains may have formed as debris rained down on the moon and piled high on the surface, the team reports April 9 at arXiv.org.
Roman, Baer property of modules and applications, Advances in Ring Theory (2005), 225-241.
It introduces abstract algebra in terms of the integers, other number systems, polynomial rings, more ring theory, groups, and special topics.
At that time the most prominent faculty member of the mathematics department was Joachim Lambek, a specialist in ring theory, who accepted to supervise my work.
Rowen, Polynomial identities in ring theory (1980), Pure and Applied Math.
This concept of buying in lower value areas which still benefit from good rents is 'concentric ring theory' - a technical way of describing the ripple effect of prices, reducing as you move further away from prime locations.