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Zero Vector Space
In algebra, the zero object of a given algebraic structure is, in the sense explained below, the simplest object of such structure. As a set it is a singleton, and as a magma has a trivial structure, which is also an abelian group. The aforementioned abelian group structure is usually identified as addition, and the only element is called zero, so the object itself is typically denoted as . One often refers to ''the'' trivial object (of a specified category) since every trivial object is isomorphic to any other (under a unique isomorphism). Instances of the zero object include, but are not limited to the following: * As a group, the zero group or trivial group. * As a ring, the zero ring or trivial ring. * As an algebra over a field or algebra over a ring, the trivial algebra. * As a module (mathematics), module (over a ring (algebra), ring ), the zero module. The term trivial module is also used, although it may be ambiguous, as a ''trivial G-module'' is a G-module wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Terminal And Initial Object
Terminal may refer to: Computing Hardware * Terminal (electronics), a device for joining electrical circuits together * Terminal (telecommunication), a device communicating over a line * Computer terminal, a set of primary input and output devices for a computer * Feedback terminal, a physical device used collect anonymous feedback Software * Terminal emulator, a program that emulates a computer terminal within some other display architecture ** Terminal (macOS), a terminal emulator included with macOS ** Windows Terminal, a terminal emulator for Windows 10 and Windows 11 ** GNOME Terminal, a Linux and BSD terminal emulator * Terminal and nonterminal symbols, lexical elements used in specifying the production rules constituting a formal grammar in computer science. Fonts * Terminal (typeface), a monospace font * Terminal (typography), a type of stroke ending Transportation * Airport terminal, a building where passengers embark and disembark aircraft (or cargo is loaded) * Bus s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |