identity element

  • 101Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …

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  • 102Quotient group — In mathematics, given a group G and a normal subgroup N of G , the quotient group, or factor group, of G over N is intuitively a group that collapses the normal subgroup N to the identity element. The quotient group is written G / N and is… …

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  • 103Group isomorphism — In abstract algebra, a group isomorphism is a function between two groups that sets up a one to one correspondence between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two… …

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  • 104Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 105Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …

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  • 106Idempotence — IPAEng|ˌaɪdɨmˈpoʊtəns describes the property of operations in mathematics and computer science which means that multiple applications of the operation does not change the result. The concept of idempotence arises in a number of places in abstract …

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  • 107Multiplication — Multiply redirects here. For other uses, see Multiplication (disambiguation). For methods of computing products, including those of very large numbers, see Multiplication algorithm. Four bags of three marbles gives twelve marbles. There are also… …

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  • 108Addition — is the mathematical process of putting things together. The plus sign + means that two numbers are added together. For example, in the picture on the right, there are 3 + 2 apples meaning three apples and two other apples which is the same as… …

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  • 109Dihedral group — This snowflake has the dihedral symmetry of a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections.[1] Dihedr …

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  • 110n-ary group — In mathematics, an n ary group (also n group, polyadic group or multiary group) is a generalization of a group to a set G with a n ary operation instead of a binary operation.[1] The axioms for an n ary group are defined in such a way as to… …

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