indirgenilir

Indirgenilir is a Turkish adjective meaning reducible or capable of being reduced. It is used across disciplines to describe objects, problems, or expressions that can be transformed into a simpler or equivalent form by a defined process.

In mathematics, indirgenilir typically describes objects that can be decomposed into simpler constituents. For polynomials, a polynomial over a field or ring is indirgenilir if it can be factored into polynomials of lower degree with coefficients in the same ring; if no such nontrivial factorization exists, the polynomial is irreducible. The notion extends to other algebraic structures, where elements may be expressed as a product, sum, or direct combination of simpler components.

In computer science and logic, indirgenilirity refers to computational reductions between problems. A problem A is indirgenilebilir to a problem B if there exists a computable transformation that converts any instance of A into an instance of B such that a solution to B yields a solution to A. Such reductions are central in complexity theory for comparing problem difficulties and establishing hardness results.

Usage and limitations: The precise meaning of indirgenilir depends on the domain and the formal notion of reduction used. The term frequently appears in Turkish mathematical and theoretical computer science literature, often in compound forms such as indirgenilirlik (reducibility).