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Everything about Identity element
Specific element of an algebraic structure
In mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied. For example, 0 is an identity element of the addition of real numbers. This concept is used in algebraic structures such as groups and rings. The term identity element is often shortened to identity when there is no possibility of confusion, but the identity implicitly depends on the binary operation it is associated with. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Identity elementA 5-minute orientation
- Skim a recent paper: tRNA shape is an identity element for an archaeal pyrrolysyl-tRNA synthetase from the human gutInfluential work since 2022
- Pick up a classic book: S/HeThe most-reprinted book on the subject
- Read the landmark paper: Function of a Foxp3 cis -Element in Protecting Regulatory T Cell IdentityCited 274 times
- Go sideways: Inverse elementA closely related topic
- Go sideways: MonoidA closely related topic
📖 Definitions
Noun An element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Function of a Foxp3 cis -Element in Protecting Regulatory T Cell Identity
The Anticodon Contains a Major Element of the Identity of Arginine Transfer RNAs
Building a unique brand identity: measuring the relative ownership potential of brand identity element types
Loss of a Primordial Identity Element for a Mammalian Mitochondrial Aminoacylation System
Groups in which the normaliser of every element except identity is abelian
Absence of a universal element for tRNAHis identity in Acanthamoeba castellanii
Finite groups in which the centralizer of any non-identity element is nilpotent
New computational methods reveal tRNA identity element divergence between Proteobacteria and Cyanobacteria
🆕 Influential since 2022
tRNA shape is an identity element for an archaeal pyrrolysyl-tRNA synthetase from the human gut
Civic identity of youth as an important element of modern sociocultural transformation of society
Identity‐Enabled CDMA LiDAR for Massively Parallel Ranging with a Single‐Element Receiver
A single-cell transposable element atlas of human cell identity
The sandpile identity element on an ellipse
📚 Books worth reading
S/HeMinnie Bruce Pratt · 1995- 📕Gengo no sesshoku to konkōMayumi Kudō, Aoi Tsuda · 2003
- 📕Acerca de lo negro y la africanía en la lengua literaria de Motivos de son de Nicolás GuillénAmauri Francisco Gutiérrez Coto · 2001
- 📕Acerca de lo negro y la africanía en la lengua literaria de Motivos de son de Nicolás GuillénAmauri Francisco Gutiérrez Coto · 2001
Appalachian Odyssey · 2000
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Inverse element In mathematics, the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers. Given an operation denoted…
- Monoid In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the natural numbers with addition…
- Binary operation In mathematics, a binary operation or dyadic operation is a kind of binary function, i.e. given a pair of input values (called operands), it produces an…
- Semigroup In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. In mathematical…
- Homomorphism In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector…
- Additive inverse In mathematics, the additive inverse of an element x, denoted −x, is the element that when added to x, yields the additive identity. This additive identity…
- Outline of algebraic structures In mathematics, many types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties…
- Semigroup with involution In mathematics, particularly in abstract algebra, a semigroup with involution, or a *-semigroup, is a semigroup equipped with an involutive anti-automorphism…