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irreducible element

   Also found in: Wikipedia 0.01 sec.
irreducible element [‚ir·ə′düs·ə·bəl ′el·ə·mənt]
(mathematics)
An elementxof a ring which is not a unit and such that every divisor ofxis improper.


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Faris's criteria are: the presence of an irreducible element of magic; the presence of the phenomenal world; unsettling doubts in the reader to explain the nature of the events; the merging in the narrative of different realms; disruptions of time, space and identity.
In elucidating the subtitle, he finds the "myths" of the Renaissance are irreducible elements that lead to the constant redefinition of the "concept" of the Renaissance, and then examines the quest for truth in the Renaissance through an analysis of Machiavelli, Guicciardini, and Giordano Bruno.
A major focus was the properties related to nonunique factorizations of elements into irreducible elements into commutative rings and monoids.
 
 
 
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