Algebraic structures: Higher algebra studies the algebraic structures that arise in higher mathematics and unifies various themes that run throughout mathematical experience. Physicists may be most familiar with groups, but group theory pervades many parts of mathematics and arose to solve a ... [100%] 2024-01-19 [Mathematics]
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) [84%] 2023-10-13
Free algebra: In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative analogue of a polynomial ring since its elements may be described as "polynomials" with non-commuting variables. Likewise, the polynomial ring ... [79%] 2023-11-12 [Algebras] [Ring theory]...
Free algebra: in a class $\mathfrak K$ of universal algebras An algebra $F$ in $\mathfrak K$ with a free generating system (or base) $X$, that is, with a set $X$ of generators such that every mapping of $X$ into any algebra $A ... (Mathematics) [79%] 2023-10-22
Free algebraic system: A free object in a certain class of algebraic systems. Let $ \mathfrak K $ be a non-empty class of algebraic systems (see Algebraic systems, class of). (Mathematics) [76%] 2023-12-30
Structures: Part of the Statics course offered by the Division of Applied Mechanics, School of Engineering and the Engineering and Technology Portal Structural engineering relies heavily on the strengths of materials and their ability to withstand forces of tension, compression & shear ... [71%] 2024-01-01 [Statics] [Advanced Classical Mechanics]...
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) [69%] 2023-10-17
Fred Freed: Cet article est une ébauche concernant un compositeur de musique de film et un chef d’orchestre autrichien. Pour les articles homonymes, voir Freed. [66%] 2025-01-22
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) [65%] 2023-12-03 [Associative rings and algebras]
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 of alternating K-bilinearity and the Jacobi identity. The definition of the ... [65%] 2023-08-28 [Properties of Lie algebras] [Free algebraic structures]...
Free Boolean algebra: In mathematics, a free Boolean algebra is a Boolean algebra with a distinguished set of elements, called generators, such that: The generators of a free Boolean algebra can represent independent propositions. Consider, for example, the propositions "John is tall" and ... [65%] 2022-11-11 [Boolean algebra] [Free algebraic structures]...
Lie algebra, free: over a ring $R$ A Lie algebra $L = L(X)$ over $R$ in which one can distinguish a free generating set $X$, a mapping from which into an arbitrary algebra $G$ over $R$ can be be extended to a homomorphism ... (Mathematics) [65%] 2023-10-12 [Nonassociative rings and algebras]
Free Boolean algebra: A Boolean algebra with a system of generators such that every mapping from this system into a Boolean algebra can be extended to a homomorphism. Every Boolean algebra is isomorphic to a quotient algebra of some free Boolean algebra. (Mathematics) [65%] 2022-10-06
Free Boolean algebra: A Boolean algebra with a system of generators such that every mapping from this system into a Boolean algebra can be extended to a homomorphism. Every Boolean algebra is isomorphic to a quotient algebra of some free Boolean algebra. (Mathematics) [65%] 2024-03-08
Quasi-free algebra: In abstract algebra, a quasi-free algebra is an associative algebra that satisfies the lifting property similar to that of a formally smooth algebra in commutative algebra. The notion was introduced by Cuntz and Quillen for the applications to cyclic ... (Associative algebra with lifting property) [65%] 2025-03-10 [Abstract algebra]
Structurer: In investment banking, a structurer is the finance professional responsible for designing structured products. Their solution will typically deliver a bespoke hedge, "yield enhancement", or other feature, as appropriate to the client's needs, and must inhere relevant regulatory and ... (Investment banking professional) [64%] 2024-01-22 [Finance occupations] [Financial analysts]...
Structurer: In investment banking, a structurer is the finance professional responsible for designing structured products. Their solution will typically deliver a bespoke hedge, "yield enhancement", or other feature, as appropriate to the client's needs, and must inhere relevant regulatory and ... (Investment banking professional) [64%] 2024-01-03 [Finance occupations] [Financial analysts]...
Structurer: In investment banking, a structurer is the finance professional responsible for designing structured products. Their solution will typically deliver a bespoke hedge, "yield enhancement", or other feature, as appropriate to the client's needs, and must inhere relevant regulatory and ... (Finance) [64%] 2023-11-13 [Finance occupations] [Investment banking]...
Structure: A synonym for algebraic system. Similarly, substructure is a synonym for "subsystem" , and elementary substructure is a synonym for "elementary subsystem" (cf. (Mathematics) [63%] 2023-10-17
Structure: A structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Material structures include man-made objects such as buildings and machines and natural objects such as biological ... (Arrangement of interrelated elements in an object/system, or the object/system itself) [63%] 2023-12-19 [Systems]
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