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**Algebra**

The word "algebra" is a distortion of the Arabic title of a treatise by al-Khwārizmī about algebraic methods. In modern usage,

**algebra**has several meanings. One use of the ...Abstract

**Algebra**Linear

**Algebra**Pre-

**Algebra**A W^*-

**algebra**is a C-*-**algebra**A for which there is a Banach space A_* such that its dual is A. Then the space A_* is uniquely defined and is called the pre-dual of A. Every ...An involutive Banach

**algebra**is a Banach**algebra**A which is an involutive**algebra**and ||a^*||=||a|| for all a in A.The

**algebra**A is called a pre-C^*-**algebra**if it satisfies all conditions to be a C^*-**algebra**except that its norm need not be complete.Abstract

**algebra**is the set of**advanced**topics of**algebra**that deal with abstract algebraic structures rather than the usual number systems. The most important of these ...An

**algebra**with no nontrivial ideals....