a×1a

a×1a is a symbolic multiplication expression consisting of the element a and the multiplicative operation denoted by ×, with the second factor written as 1a. This form is not a standard named concept in mathematics, so its exact meaning depends on the context in which it appears.

In common algebraic usage, 1a is understood as 1 × a, which equals a. Under this reading, a×1a simplifies using associativity to a×(1×a) = a×a = a^2, assuming the multiplication is defined for the objects involved (for example, scalars, matrices of compatible sizes, or elements of an algebra with a defined product). The simplification relies on the identity property of 1 in the multiplicative structure.

Other readings are possible in specialized contexts. If a is a symbol representing a numeric value and the string 1a is interpreted as a literal in a particular notation or programming language, then the meaning could change. For instance, some systems use hexadecimal literals or other bases, in which case 1a might denote a specific number; however, most common programming languages require explicit syntax (such as 0x1A) to express such literals. Without explicit conventions, the expression remains ambiguous.

In summary, a×1a is not a widely recognized mathematical object; its interpretation is determined by definitions provided in a given text. Commonly, if 1a is treated as a, the expression evaluates to a^2, but other interpretations may be possible with different definitions of the symbols involved. See also multiplication, identity element, and algebraic structures.