¹ *Source: wiktionary.com*

### Definition of Algebras

**1.** algebra [n] - See also: algebra

### Algebras Pictures

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### Lexicographical Neighbors of Algebras

### Literary usage of Algebras

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *A Treatise on Universal Algebra: With Applications* by Alfred North Whitehead, ( (1898)

"CLASSIFICATION OF SPECIAL **algebras**. The succeeding books of this work will be
devoted to the discussion and comparison of the leading special **algebras**. ..."**2.** *Synopsis of Linear Associative Algebra: A Report on Its Natural Development* by James Byrnie Shaw (1907)

"KRONECKER **algebras**. 205. Definition. A commutative algebra is one such that every
pair of numbers £0 ^ in it, satisfy the equation i1 &&=&& 206. Theorem. ..."**3.** *Sophus Lie's 1880 Transformation Group Paper* by Sophus Lie, Robert Hermann (1975)

"ABELIAN LIE **algebras** OF VECTOR FIELDS Lie's constant objective was to derive
canonical forms for classes of Lie **algebras** of vector fields. ..."**4.** *Topics in Physical Geometry* by Robert Hermann (1988)

"In particular, the Lie theory involves studying the Lie algebra of derivations
of commutative associative **algebras**. (In elementary particle physics, ..."**5.** *Topics in the Geometric Theory of Integrable Mechanical Systems* by Robert Hermann (1984)

"They will play the role in stochastic system theory that Lie **algebras** of vector
fields play in deterministic system theory. The obvious place to start will ..."**6.** *Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control* by Louis R. Hunt, Clyde Martin (1984)

"Affine Lie **algebras** [14] are a class of infinite dimensional Lie **algebras** ...
In this paper theta functions are given in terms of affine Lie **algebras** and ..."**7.** *Topics in the Mathematics of Quantum Mechanics* by Robert Hermann (1973)

"We now turn to a study of a general method of realizing current **algebras** as the
Lie **algebras** of infinite dimensional Lie groups. 10. ..."