Weakly Standard Rings: Some Nonassociative Rings which are Weakly Standard - Couverture souple

Kuruba, Chennakesavulu; Jaya Subba Reddy, C.; Suvarna, K.

 
9783659862786: Weakly Standard Rings: Some Nonassociative Rings which are Weakly Standard
Couverture souple
ISBN 10 : 3659862789 ISBN 13 : 9783659862786
Editeur : LAP LAMBERT Academic Publishing, 2016

Synopsis

The study of non-associative rings has yielded many interesting results in algebra. The special rings like weakly stand rings, in which the associative law is replaced by weak substitute, have applications in other branches of algebraic geometry,integration of analysis and algebra.In this work we present some identities of assosymmetric rings, antiflexible rings and weakly standard rings. In general, assosymmetric rings, antiflexible rings and rings with (x,y,x) and commutators in the left nucleus are not weakly standard rings.We prove that prime assosymmetric rings, antiflexible rings without non-zero nilpotent elements and semiprime rings with (x,y,x) and commutators in the left nucleus are weakly standard rings.We establish the structure of certain weakly standard rings.We prove associatativity,commutativity and nilpotency of weakly standard rings.Also we prove some properties of ideals in weakly standard rings.

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Présentation de l'éditeur

The study of non-associative rings has yielded many interesting results in algebra. The special rings like weakly stand rings, in which the associative law is replaced by weak substitute, have applications in other branches of algebraic geometry,integration of analysis and algebra.In this work we present some identities of assosymmetric rings, antiflexible rings and weakly standard rings. In general, assosymmetric rings, antiflexible rings and rings with (x,y,x) and commutators in the left nucleus are not weakly standard rings.We prove that prime assosymmetric rings, antiflexible rings without non-zero nilpotent elements and semiprime rings with (x,y,x) and commutators in the left nucleus are weakly standard rings.We establish the structure of certain weakly standard rings.We prove associatativity,commutativity and nilpotency of weakly standard rings.Also we prove some properties of ideals in weakly standard rings.

Biographie de l'auteur

Dr.Kuruba Chennakesavulu is working Associate Professor of Mathematics in Intel Engineering College,Anantapuramu.He is Published 20 research papers and he attended more than 25 national & International Conferences.He is member of A.P.S.M.S and other society's.

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Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3659862789
ISBN 13 
9783659862786
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
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