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Prodigy Math or Prodigy Math Game is an educational fantasy massively multiplayer online role-playing game (MMORPG) developed by Prodigy Education.The player takes the role of a wizard or witch, who, whilst undertaking quests to collect gems, must battle against the Puppet Master.
A ring is a set R equipped with two binary operations [a] + (addition) and ⋅ (multiplication) satisfying the following three sets of axioms, called the ring axioms: [1] [2] [3] R is an abelian group under addition, meaning that: (a + b) + c = a + (b + c) for all a, b, c in R (that is, + is associative). a + b = b + a for all a, b in R (that ...
It is the developer of the 2011 and 2022 Prodigy Math, a roleplaying game where players solve math problems to participate in battles and cast spells, and Prodigy English, a sandbox game where players answer English questions to earn currency to gain items. Although each game is standalone, both are accessible through a single Prodigy account.
The definition is equivalent to saying that a unital associative R-algebra is a monoid object in R-Mod (the monoidal category of R-modules). By definition, a ring is a monoid object in the category of abelian groups; thus, the notion of an associative algebra is obtained by replacing the category of abelian groups with the category of modules.
Educational games are games explicitly designed with educational purposes, or which have incidental or secondary educational value. All types of games may be used in an educational environment, however educational games are games that are designed to help people learn about certain subjects, expand concepts, reinforce development, understand a historical event or culture, or assist them in ...
The set of functions from a monoid N to a ring R which are nonzero at only finitely many places can be given the structure of a ring known as R[N], the monoid ring of N with coefficients in R. The addition is defined component-wise, so that if c = a + b , then c n = a n + b n for every n in N .
Therefore, by definition, any field is a commutative ring. The rational , real and complex numbers form fields. If R {\displaystyle R} is a given commutative ring, then the set of all polynomials in the variable X {\displaystyle X} whose coefficients are in R {\displaystyle R} forms the polynomial ring , denoted R [ X ] {\displaystyle R\left[X ...
Let be a group, written multiplicatively, and let be a ring. The group ring of over , which we will denote by [], or simply , is the set of mappings : of finite support (() is nonzero for only finitely many elements ), where the module scalar product of a scalar in and a mapping is defined as the mapping (), and the module group sum of two mappings and is defined as the mapping () + ().