nonsmipi'i

valsi

nonsmipi'i

type

lujvo

creator

krtisfranks

time entered

Sun Mar 2 23:28:52 2014  

English

Definition #53132 - Preferred

 

definition

x1 is a zero-divisor partnered with element(s) x2 in structure/ring x3

notes

x1 and x2 are elements of the set underlying x3 and x1*x2=0 in this structure x3 (where "0" denotes the 'additive' identity of the structure ("addition" merely being (one of) its commutative group operation(s))); the aforementioned partnership is so defined. Unlike many textbook definitions, this definition still allows such 0 to itself be a zero-divisor ((so partnered) with any element in the set underlying x3) in x3. See also: narnonsmikemnonsmipi'i

gloss words

• zero-divisor ; ring element x such that there exists a ring element y such thar xy=0 in the ring, for a given fixed ring and the underlying set thereof (pedantically)

created by

krtisfranks

vote information

1

time

Sun Mar 2 23:32:42 2014

Examples

---