Search for "Associative rings and algebras" in article titles:

1. Associative rings and algebras: Associative rings and algebras are rings and algebras with an associative multiplication, i.e., sets with two binary operations, addition $+$ and multiplication $\cdot$, that are Abelian groups with respect to addition and semi-groups with respect to multiplication, and in ... (Mathematics) [100%] 2023-11-27
2. Non-associative rings and algebras: Sets with two binary operations $+$ and $\cdot$, satisfying all the axioms of associative rings and algebras except possibly the associativity of multiplication. The first examples of non-associative rings and algebras that are not associative appeared in the mid-19th ... (Mathematics) [89%] 2023-10-22 [Nonassociative rings and algebras]

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1. Rings and algebras: Sets with two binary operations, usually called addition and multiplication. Such a set with an addition and a multiplication is called a ring if: 1) it is an Abelian group with respect to addition (in particular, the ring has a ... (Mathematics) [87%] 2024-01-02
2. Alternative rings and algebras: An alternative ring is a ring in which every two elements generate an associative subring; an alternative algebra is a (linear) algebra that is an alternative ring. By a theorem of >E. (Mathematics) [76%] 2023-11-27 [Nonassociative rings and algebras]
3. Associative algebra: In mathematics, an associative algebra A is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field K. The addition and multiplication operations together give A the structure ... (1 = Algebraic structure with (a + b)(c + d) = ac + ad + bc + bd and (a)(bc) = (ab)(c)) [70%] 2023-08-08 [Algebras] [Algebraic geometry]...
4. Associative algebra: In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center of A. This is thus an algebraic structure with an addition, a ... (Ring that is also a vector space or a module) [70%] 2025-06-03 [Algebras] [Algebraic geometry]...
5. Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [68%] 2023-10-13
6. Radical of rings and algebras: A concept that first arose in the classical structure theory of finite-dimensional algebras at the beginning of the 20th century. Initially the radical was taken to be the largest nilpotent ideal of a finite-dimensional associative algebra. (Mathematics) [68%] 2023-10-17
7. Rings: Ring as Symbol of Marriage by Purchase. Finger-rings, like rings for the ears and the nose, were used as ornaments by the Jews as early as the Biblical period (Ex. and rings as signs of the highest dignity were ... (Jewish encyclopedia 1906) [57%] 1906-01-01 [Jewish encyclopedia 1906]
8. Rings (album): Rings is an album by cellist Erik Friedlander which was released in 2016 on the Skipstone label. Writing for All About Jazz, Jakob Baekgaard said "Rings is an album that successfully crosses the boundaries of classical music, jazz and world ... (Album) [57%] 2024-01-06 [2016 albums] [Erik Friedlander albums]...
9. Rings: Rings ist der Familienname folgender Personen: Rings bezeichnet: RINGS bezeichnet: Siehe auch. [57%] 2024-01-04
10. RINGS (Hawaiian6のアルバム): 『RINGS』（リングス）は、日本のロックバンドHawaiian6の3枚目のミニ・アルバム。2007年11月7日発売。発売元はIKKI NOT DEAD。. (Hawaiian6のアルバム) [57%] 2025-05-06 [2007年のミニ・アルバム]
11. Free associative algebra: The algebra $k\langle X \rangle$ of polynomials over a field $k$ in non-commuting variables in $X$. The following universal property determines the algebra $k\langle X \rangle$ uniquely up to an isomorphism: There is a mapping $i : k ... (Mathematics) [57%] 2023-12-03 [Associative rings and algebras]
12. Commutant-associative algebra: In abstract algebra, a commutant-associative algebra is a nonassociative algebra over a field whose multiplication satisfies the following axiom: where [A, B] = AB − BA is the commutator of A and B and (A, B, C) = (AB)C – A(BC ... [57%] 2023-10-13 [Non-associative algebras]
13. Homotopy associative algebra: In mathematics, an algebra such as \displaystyle{ (\R,+,\cdot) }[/math] has multiplication \displaystyle{ \cdot }[/math] whose associativity is well-defined on the nose. This means for any real numbers \displaystyle{ a,b,c\in \R }[/math] we have But, there ... [57%] 2023-02-14 [Algebra] [Homological algebra]...
14. Lie algebra, algebraic: The Lie algebra of an algebraic subgroup (see Algebraic group) of the general linear group of all automorphisms of a finite-dimensional vector space $V$ over a field $k$. If $\mathfrak g$ is an arbitrary subalgebra of the Lie algebra ... (Mathematics) [55%] 2023-10-17
15. Go ranks and ratings: There are various systems of Go ranks and ratings that measure the skill in the traditional board game Go. Traditionally, Go rankings have been measured using a system of dan and kyu ranks. (Software) [51%] 2023-12-24 [Go (game)]
16. Algebra: Algebra is a branch of mathematics. The term is used in combinations such as homological algebra, commutative algebra, linear algebra, multilinear algebra, and topological algebra. (Mathematics) [51%] 2023-10-17 [Algebra]
17. Algebra: Algebra (from ar ‏الجبر‎ (al-jabr) 'reunion of broken parts, bonesetting') is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation ... (Area of mathematics) [51%] 2023-10-13 [Algebra]
18. Algebra (singer): Algebra Felicia Blessett (born April 9, 1976), usually known as Algebra Blessett or just Algebra, is an American contemporary R&B singer. Blessett's mother was a gospel singer and bass player, and Blessett grew up to the sounds of ... (Singer) [51%] 2024-01-09 [1976 births] [Living people]...