East Asian mathematical journal
- Volume 24 Issue 4
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- Pages.377-387
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
IDEALS AND DIRECT PRODUCT OF ZERO SQUARE RINGS
- Bhavanari, Satyanarayana (DEPARTMENT OF MATHEMATICS, ACHARYA NAGARJUNA UNIVERSITY) ;
- Lungisile, Goldoza (DEPARTMENT OF MATHEMATICAL SCIENCES, UNIVERSITY OF SOUTH AFRICA) ;
- Dasari, Nagaraju (DEPARTMENT OF MATHEMATICS, RAJIV GANDHI UNIVERSITY OF KNOWLEDGE TECHNOLOGIES)
- Published : 2008.09.30
Abstract
We consider associative ring R (not necessarily commutative). In this paper the concepts: zero square ring of type-1/type-2, zero square ideal of type-1/type-2, zero square dimension of a ring R were introduced and obtained several important results. Finally, some relations between the zero square dimension of the direct sum of finite number of rings; and the sum of the zero square dimension of individual rings; were obtained. Necessary examples were provided.
Keywords
- zero square ring;
- zero square ideal;
- direct sum;
- zero square dimension;
- uniform ideal;
- essential ideal