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  1. 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) [100%] 2023-10-13
  2. 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) [82%] 2023-10-17 [Algebra]
  3. 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) [82%] 2023-10-13 [Algebra]
  4. 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) [82%] 2024-01-09 [1976 births] [Living people]...
  5. Algebra: Algebra is a branch of mathematics sibling to geometry, analysis (calculus), number theory, combinatorics, etc. Although algebra has its roots in numerical domains such as the reals and the complex numbers, in its full generality it differs from its siblings ... (Philosophy) [82%] 2021-12-24
  6. Algebra: , considerado uno de los «padres del álgebra» La fórmula cuadrática expresa la solución de la ecuación ax2 \+ bx \+ c = 0, donde a es distinto de cero, en términos de sus coeficientes a, b y c. Para otros usos de este ... [82%] 2023-05-17
  7. Algebra: Algebra is a major branch of mathematics that analyzes the relationships between quantities or items. In higher math the principal fields of algebra are linear algebra, which focuses on matrices, and abstract algebra, which includes group theory. [82%] 2023-02-16 [Algebra]
  8. Algebra: Algebra is an ancient form of mathematical analytical methodology and is one of the most fundamental in our modern practice of analysis. Numbers are made of digits. [82%] 2024-01-01 [Algebra]
  9. -algebra: In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings R and A, where R is commutative and A has the structure of an associative algebra over R ... (Mathematical structure in abstract algebra) [82%] 2023-11-27 [Algebras] [Ring theory]...
  10. Algebra: Algebra is a branch of mathematics concerning the study of structure, relation and quantity. The name is derived from the treatise written by the Persian mathematician Muhammad ibn Mūsā al-Khwārizmī titled (in Arabic كتاب الجبر والمقابلة )Al-Kitab al-Jabr wa-l-Muqabala (meaning ... [82%] 2023-10-11
  11. Algebra: Die Algebra (von arabisch الجبر, DMG al-ǧabr „das Zusammenfügen gebrochener Teile“) ist eines der grundlegenden Teilgebiete der Mathematik; es befasst sich mit den Eigenschaften von Rechenoperationen. Im Volksmund wird Algebra häufig als das Rechnen mit Unbekannten in Gleichungen bezeichnet (zum ... [82%] 2024-07-21
  12. Algebra: L'algebra (dall'arabo الجبر, al-ǧabr, 'completamento') è una branca della matematica che tratta lo studio di strutture algebriche, relazioni e quantità. Il termine algebra (dall'arabo الجبر, al-ǧabr che significa "unione", "connessione" o "completamento", ma anche "aggiustare" o "ricomporre") deriva dal ... [82%] 2024-07-20
  13. Algebra: Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations such as addition and ... (Branch of mathematics) [82%] 2024-07-24 [Algebra]
  14. Algebra: Algebra, of stelkunde, is die afdeling van wiskunde waar simbole gebruik word om strukture te beskryf en die verhoudings daartussen aan te dui. Klassieke algebra het uit die algemene metode van die oplos van vergelykings gekom. [82%] 2024-08-03
  15. Algebra: Algebra is the branch of mathematics that studies algebraic systems and the manipulation of equations within those systems. It is a generalization of arithmetic that includes variables besides regular numbers and algebraic operations other than the standard arithmetic operations like ... (Branch of mathematics) [82%] 2024-11-28 [Algebra]
  16. Algebra (teoria degli anelli): In matematica, in particolare nella teoria degli anelli, un'algebra su di un anello commutativo è una generalizzazione del concetto di algebra su campo in cui il campo è rimpiazzato da un anello commutativo. Sia R {\displaystyle R} un anello commutativo. (Teoria degli anelli) [82%] 2024-07-20
  17. Algebra (Lang): Algebra is a graduate level textbook on Algebra written by Serge Lang, originally published by Addison-Wesley in 1965. It is now in its third edition, and is heavily cited, with over 10,000 citations in Google Scholar. (Lang) [82%] 2025-07-27 [Algebra] [Mathematics textbooks]...
  18. 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) [81%] 2023-10-17
  19. Fundamental Theorem of Algebra: The Fundamental Theorem of Algebra is a mathematical theorem stating that every nonconstant polynomial whose coefficients are complex numbers has at least one complex number as a root. In other words, given any polynomial (where d {\displaystyle d} is any ... [74%] 2023-06-11
  20. Fundamental theorem of algebra: The Fundamental theorem of algebra states that every non-zero single-variable polynomial, (possibly with complex coefficients), has exactly as many complex roots, or solutions, as its degree (the highest power the variable is raised to), if repeated roots are ... [74%] 2023-06-23 [Mathematics]

external From search of external encyclopedias:

  1. Stability theorems in algebraic K-theory The following are the best-known stability theorems. Let $ R $ ...(cf. [[Regular ring (in commutative algebra)|Regular ring (in commutative algebra)]]) and let $ R[t _{1} \dots t _{n} ] $
  2. Free Lie algebra In mathematics, a free Lie algebra over a field K is a Lie algebra generated by a set X, without any imposed relations other than the defining relations...
  3. Jordan algebra An [[Algebra|algebra]] in which the identities $$ ...m mechanics (cf. also [[#References|[2]]]), and later found application in algebra, analysis and geometry.
  4. Uniform algebra $#C+1 = 44 : ~/encyclopedia/old_files/data/U095/U.0905190 Uniform algebra ...[Topology of uniform convergence|topology of uniform convergence]], of the algebra $ C ( X) $
  5. Tate algebra $#C+1 = 85 : ~/encyclopedia/old_files/data/T092/T.0902240 Tate algebra The valuation ring $ R= \{ {a \in K } : {| a | \leq 1 } \} $
  6. Boolean algebra (structure) In abstract algebra, a Boolean algebra or Boolean lattice is a complemented ... Every Boolean algebra gives rise to a Boolean ring, and vice versa ... ...
  7. Universal algebra Universal algebra (sometimes called general algebra) is the field ... particular groups as the object of study, in universal algebra one takes ... ...
  8. Partial algebra operation effect algebras There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982). Peter Burmeister (1993). "Partial algebras—an introductory...
  9. Fourier algebra ''Eymard algebra'' ...à-Talamanca algebra]] for notations) is called the Fourier algebra of $G$. In fact,
  10. Dirichlet algebra ...$A$ is called a Dirichlet algebra if $A + \overline{A}$ is uniformly dense in $C ( X )$. Dirichlet algebras were introduced by A.M. Gleason [[#References ...f D }$. The algebra $A ( \mathbf{D} )$ is a typical example of a Dirichlet algebra on the unit circle $\partial \mathbf{D}$. For $A ( \mathbf{D} )$, the measu
  11. Mal'tsev algebra $#C+1 = 73 : ~/encyclopedia/old_files/data/M062/M.0602170 Mal\AAptsev algebra, ''Moufang–Lie algebra''
  12. Linear algebra $#C+1 = 47 : ~/encyclopedia/old_files/data/L059/L.0509040 Linear algebra The branch of algebra in which one studies vector (linear) spaces, linear operators (linear mappings
  13. Rings and algebras ...if: 1) it is an [[Abelian group|Abelian group]] with respect to addition (in particular, the ring has a zero element, denoted by 0, and a negative eleme in the ring.
  14. Fourier-algebra(2) ...ysis, abstract|Harmonic analysis, abstract]]). They play an important role in the duality theories of these groups. ==Fourier–Stieltjes algebra.==
  15. PI-algebra An algebra over a field for which certain polynomial identities are true. be an associative algebra (cf. [[Associative rings and algebras|Associative rings and algebras]]) ove
  16. Hypo-Dirichlet algebra ...nd the [[linear span]] of $\operatorname { log } | A ^ { - 1 } |$ is dense in $\operatorname { Re } C ( X )$, where $A ^ { - 1 }$ is the family of invert ...of functions of a complex variable]]). Then $R ( X )$ is a hypo-Dirichlet algebra [[#References|[a3]]].
  17. Théorème de Stallings dimension one », J. Algebra, vol. 12,‎ 1969, p. 585–610. Daniel Cohen, Groups of cohomological dimension one, Springer, coll. « Lecture Notes in Mathematics »...
  18. C*-algebra In mathematics, specifically in functional analysis, a C∗-algebra ... * A is a topologically closed set in the norm topology of operators. ... ...
  19. Théorème d'Artin-Lang Geometry, Springer, 1998 (ISBN 978-3-540-64663-1, lire en ligne), « Real Algebra », pp. 83-95 Corps réel clos Problèmes de Hilbert Dix-septième problème...
  20. Determinant In mathematics, the determinant is a scalar value that is a function ... In the case of a 2 × 2 matrix the determinant can be defined as ... ...
  21. Pairing ...the mapping thus obtained form the essence of various duality theorems in algebra, topology and functional analysis. ...
  22. Théorème de Lie-Kolchin Steinberg, « On theorems of Lie-Kolchin, Borel, and Lang », dans Hyman Bass, Phyllis J. Cassidy et Jerald Kovacic (éds.), Contributions to Algebra : A Collection...
  23. Congruence linéaire ... Jaromír Šimša, Equations and Inequalities : Elementary Problems and Theorems in Algebra and Number Theory, Springer Science+Business Media, 2000 (lire en...
  24. Ring (mathematics) In mathematics, rings are algebraic structures that generalize fields: ... element. (Some authors use the term "[[rng (algebra)| ... ...
  25. Fundamental theorem of algebra The fundamental theorem of algebra, also known as d'Alembert ... Additionally, it is not fundamental for modern algebra; its name was ... ...
  26. Zariski's main theorem In algebraic geometry, Zariski's main theorem, proved by Oscar Zariski (1943), is a statement about the structure of birational morphisms stating roughly...
  27. Quillen–Suslin theorem The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra concerning the relationship between...
  28. Faltings's theorem (1963). "Algebraic number fields". Proceedings of the International Congress of Mathematicians: 163–176. Vojta, Paul (1991). "Siegel's theorem in the compact...
  29. Vector functions, algebra of ...A more frequently considered case is when $A$ is a [[Banach algebra|Banach algebra]] with respect to the norm $$\Vert x\Vert=\sup_{t\in T}\Vert x(t)\Vert_A(t),$$
  30. Coherent algebraic sheaf ...gebraic variety or scheme. The structure sheaf of a Noetherian scheme and, in particular, of an algebraic variety is coherent. ...— analytic, formal, étale; and g) a theory of [[local cohomology]], useful in the study of coherent algebraic sheaves on incomplete varieties. One of the


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