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Nearrings
Translation of "nearrings" into Russian
nearring
Nounnearrings
pl
UK
/ˈnɪə.rɪŋ/
US
/ˈnɪr.ɪŋ/
nearring
nearrings pl
Used in abstract algebra to denote a generalisation of a ring.
нирринг
математика; алгебра; транслитерация термина near-ring In a nearring, multiplication need not distribute over addition from both sides.
В нирринге умножение не обязательно распределительно относительно сложения с обеих сторон.
Additional translations
математика; менее употребительное обозначение near-ring
Definitions
nearring
Noun
UK
/ˈnɪə.rɪŋ/
US
/ˈnɪr.ɪŋ/
An algebraic structure similar to a ring but requiring only one distributive law, consisting of a set equipped with two binary operations (addition and multiplication).
In a nearring, multiplication need not distribute over addition from both sides.
nearring
Adjective
UK
/ˈnɪə.rɪŋ/
US
/ˈnɪr.ɪŋ/
Relating to or characteristic of a nearring.
The nearring homomorphism preserves the additive structure.