N-Fold Obstinate Ideals in -Algebras.

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Název: N-Fold Obstinate Ideals in -Algebras.
Autoři: Forouzesh, F.
Zdroj: New Mathematics & Natural Computation; Nov2016, Vol. 12 Issue 3, p265-275, 11p
Témata: IDEALS (Algebra), FOLDS (Form), QUOTIENT rings, MATHEMATICS theorems, MODULES (Algebra)
Abstrakt: In this paper, we introduce the notion of -fold obstinate ideals of an -algebra and investigate the relations between the obstinate ideals and the other ideals of an -algebras and also we consider the quotient algebras induced by -fold obstinate ideals and prove some related theorems. In addition, the extension theorem of -fold obstinate ideals are obtained. Also, several characterizations of these -fold ideals are given. Finally, we construct algorithm for studing the structure of the -fold obstinate ideals in finite -algebras. [ABSTRACT FROM AUTHOR]
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Databáze: Complementary Index
Popis
Abstrakt:In this paper, we introduce the notion of -fold obstinate ideals of an -algebra and investigate the relations between the obstinate ideals and the other ideals of an -algebras and also we consider the quotient algebras induced by -fold obstinate ideals and prove some related theorems. In addition, the extension theorem of -fold obstinate ideals are obtained. Also, several characterizations of these -fold ideals are given. Finally, we construct algorithm for studing the structure of the -fold obstinate ideals in finite -algebras. [ABSTRACT FROM AUTHOR]
ISSN:17930057
DOI:10.1142/S1793005716500186