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  2. Ring theory - Wikipedia

    en.wikipedia.org/wiki/Ring_theory

    Ring theory studies the structure of rings; their representations, or, in different language, modules; special classes of rings (group rings, division rings, universal enveloping algebras); related structures like rngs; as well as an array of properties that prove to be of interest both within the theory itself and for its applications, such as ...

  3. Neal Henry McCoy - Wikipedia

    en.wikipedia.org/wiki/Neal_Henry_McCoy

    Neal Henry McCoy (March 6, 1905 – January 5, 2001) was an American mathematician, university professor, and author of several textbooks for mathematics undergraduates. His 1960 textbook Introduction to Modern Algebra has gone through several editions and has been translated into many foreign languages.

  4. Ore extension - Wikipedia

    en.wikipedia.org/wiki/Ore_extension

    The Weyl algebras are Ore extensions, with R any commutative polynomial ring, σ the identity ring endomorphism, and δ the polynomial derivative. Ore algebras are a class of iterated Ore extensions under suitable constraints that permit to develop a noncommutative extension of the theory of Gröbner bases.

  5. Category:Ring theory - Wikipedia

    en.wikipedia.org/wiki/Category:Ring_theory

    In mathematics, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers The main article for this category is Ring theory .

  6. Ring theory (psychology) - Wikipedia

    en.wikipedia.org/wiki/Ring_theory_(psychology)

    The concept consists of a series of concentric rings with the person in crisis in the center and each larger ring containing those next closest to the person in crisis. [1] [2] The second ring may include a spouse, parents, children, or siblings of the person in the center. The third ring might include close friends, and the fourth coworkers or ...

  7. Singular submodule - Wikipedia

    en.wikipedia.org/wiki/Singular_submodule

    A left nonsingular ring is defined similarly, using the left singular ideal, and it is entirely possible for a ring to be right-but-not-left nonsingular. In rings with unity it is always the case that (), and so "right singular ring" is not usually defined the same way as singular modules are. Some authors have used "singular ring" to mean "has ...

  8. Tsit Yuen Lam - Wikipedia

    en.wikipedia.org/wiki/Tsit_Yuen_Lam

    The Algebraic Theory of Quadratic Forms. Benjamin 1973, 1980; new version published as Introduction to Quadratic Forms over Fields, American Mathematical Society, 2005 [7] A First Course in Non-Commutative Rings. Graduate Texts in Mathematics, Springer 1991, 2nd edition 2001, ISBN 0-387-95325-6; Lectures on Modules and Rings.

  9. Michael Artin - Wikipedia

    en.wikipedia.org/wiki/Michael_Artin

    He began to turn his interest from algebraic geometry to noncommutative algebra (noncommutative ring theory), especially geometric aspects, after a talk by Shimshon Amitsur and an encounter in University of Chicago with Claudio Procesi and Lance W. Small, "which prompted [his] first foray into ring theory".

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