# cancellation law

## cancellation law

[kan·sə′lā·shən ‚lȯ]
(mathematics)
A rule which allows formal division by common factors in equal products, even in systems which have no division, as integral domains; ab = ac implies that b = c.
References in periodicals archive ?
Let (N,*) be a neutrosophic triplet group under * that satisfies the cancellation law for all its elements.
Then since [neut.sup.(1)](a)*a= [neut.sup.(2)] (a)*a, and by cancellation law to the right-hand side, we have [neut.sup.(1)](a)= [neut.sup.(2)] (a).
Similarly, if a*[neutf.sup.(1)](a)= a*[neut.sup.(2)] (a), by cancellation law to the left-hand side, we have [neut.sup.(1)](a)= [neu.sup.(2)] (a).
In the same way, since [anti.sup.(1)](a)*a= [anti.sup.(2)] (a)*a, we get [anti.sup.(1)](a)= [anti.sup.(2)](a), by cancellation law to the right-hand side.
Again, since a*[anti.sup.(1)](a) = a*[anti.sup.(2)](a), we get [anti.sup.(1)](a)= [anti.sup.(2)](a), by cancellation law to the left-hand side.
5640 contains provisions that clarify the private mortgage insurance (PMI) cancellation law regarding treatment of PMI termination and cancellation rights for adjustable-rate mortgages, balloon mortgages and modified loans.
According to IIABNY, its 2008 "sweeping legislative victories" included a coastal package that made the New York Property Insurance Underwriting Association permanent, the return to flexible rating for automobile insurance, and reforms to the state's late notice of cancellation law. Much of that success belongs to IIABNY's close working relationship with key legislative policymakers, according to the IIABNY.
On top of all this, the Fund has extraordinary authority because it is not subject to cancellation laws that typical agents face; and it is exempt from licensing and other requirements of the Insurance Law.
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