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An element a in a magma (M, ∗) has the two-sided cancellation property (or is cancellative) if it is both left- and right-cancellative. A magma (M, ∗) has the left cancellation property (or is left-cancellative) if all a in the magma are left cancellative, and similar definitions apply for the right cancellative or two-sided cancellative ...
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.
The cancellation property holds in any integral domain: for any a, b, and c in an integral domain, if a ≠ 0 and ab = ac then b = c. Another way to state this is that the function x ↦ ax is injective for any nonzero a in the domain. The cancellation property holds for ideals in any integral domain: if xI = xJ, then either x is zero or I = J.
The Inventory Controversy (Querelle des Inventaires) refers to a series of incidents across France following the 1905 French law on the Separation of the Churches and the State. This law required the inventory of church property as part of preparations for transferring it to newly created religious associations .
Catastrophic cancellation may happen even if the difference is computed exactly, as in the example above—it is not a property of any particular kind of arithmetic like floating-point arithmetic; rather, it is inherent to subtraction, when the inputs are approximations themselves.
Cancellation of an insurance policy before the end of the policy period has the effect of ending the insurance coverage on the date of the cancellation. This can result in a partial return premium which can be calculated in different ways depending on the method specified in the policy.
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Project cancellation, in government and industry; Cancellation (mail), a postal marking applied to a stamp or stationery indicating the item has been used; Cancellation (insurance), the termination of an insurance policy; Flight cancellation and delay, not operating a scheduled flight