In abstract algebra, an element a of a ring R is called a left zero divisor if there exists a nonzero x in R such that ax = 0, or equivalently if the map...
11 KB (1,756 words) - 02:33, 19 February 2024
the greatest common divisor (GCD), also known as greatest common factor (GCF), of two or more integers, which are not all zero, is the largest positive...
36 KB (4,717 words) - 14:16, 1 September 2024
divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use, Cartier divisors...
40 KB (6,609 words) - 18:59, 14 April 2023
the zero-product property".) Equivalently, a domain is a ring in which 0 is the only left zero divisor (or equivalently, the only right zero divisor). A...
7 KB (914 words) - 07:35, 10 June 2024
set up divisor (13) for second division loop (MEMORY LAYOUT: zero copy dividend divisor remainder quotient zero zero) >-[>+>>] Reduce divisor; Normal...
17 KB (1,842 words) - 07:29, 30 August 2024
in combinatorial commutative algebra, a zero-divisor graph is an undirected graph representing the zero divisors of a commutative ring. It has elements...
6 KB (783 words) - 20:54, 7 November 2023
Sedenion (section Zero divisors)
division algebra because they have zero divisors. This means that two nonzero sedenions can be multiplied to obtain zero: an example is ( e 3 + e 10 ) (...
23 KB (3,192 words) - 05:43, 19 August 2024
Divisibility (ring theory) (redirect from Divisor (ring theory))
terminology by making an exception for zero divisors: one calls an element a in a commutative ring a zero divisor if there exists a nonzero x such that...
4 KB (625 words) - 08:34, 8 January 2024
In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation,...
42 KB (5,683 words) - 05:51, 19 August 2024
trivial group {0}. The element 0 in the zero ring is not a zero divisor. The only ideal in the zero ring is the zero ideal {0}, which is also the unit ideal...
6 KB (774 words) - 06:20, 30 June 2024