👉 In mathematics, a "bottomed" object is an object that is both top and bottom. It means the object is both above (top) and below (bottom). For example, in geometry, the point at which two lines intersect to form a corner is a "bottomed" corner. In algebraic structures such as groups or rings, a "bottomed" element is an element that cannot be expressed as a sum of other elements with coefficients from the ring.