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An element a in a magma (M, ∗) has the left cancellation property (or is left-cancellative) if for all b and c in M, a ∗ b = a ∗ c always implies that b = c. An element a in a magma ( M , ∗) has the right cancellation property (or is right-cancellative ) if for all b and c in M , b ∗ a = c ∗ a always implies that b = c .
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Payment protection insurance (PPI), also known as credit insurance, credit protection insurance, or loan repayment insurance, is an insurance product that enables consumers to ensure repayment of credit if the borrower dies, becomes ill, disabled, loses a job, or faces other circumstances that may prevent them from earning income to service the debt.
The Revised Payment Services Directive (PSD2, Directive (EU) 2015/2366, [1] which replaced the Payment Services Directive (PSD), Directive 2007/64/EC [2]) is an EU Directive, administered by the European Commission (Directorate General Internal Market) to regulate payment services and payment service providers throughout the European Union (EU) and European Economic Area (EEA).
In mathematics, a cancellative semigroup (also called a cancellation semigroup) is a semigroup having the cancellation property. [1] In intuitive terms, the cancellation property asserts that from an equality of the form a · b = a · c , where · is a binary operation , one can cancel the element a and deduce the equality b = c .
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"Division" in the sense of "cancellation" can be done in any magma by an element with the cancellation property. Examples include matrix algebras, quaternion algebras, and quasigroups. In an integral domain , where not every element need have an inverse, division by a cancellative element a can still be performed on elements of the form ab or ...
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