On the indecomposable chains

Author

Majid, Nihad Abd al-Jalil

Source

Journal of Babylon University : Journal of Applied and Pure Sciences

Issue

Vol. 17, Issue 1 (30 Apr. 2009), pp.13-17, 5 p.

Publisher

University of Babylon

Publication Date

2009-04-30

Country of Publication

Iraq

No. of Pages

5

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث برهنا بأنه العلاقة المغطاة من اليمين إلى اليسار بسلسلة متصلة تبقى علاقة تكافؤ.

كما و أن اتحاد هذه العلاقات المتكافئة تبقى علاقة متكافئة أيضا.

ثم برهنا بأنه لأية علاقة السلسلة اللانهائية و سلسلة أخرى مثل بحيث أنه < AX و تحقق X.2 ≤ A فأن A تكون متراصة.

Abstract EN

In this research, we prove that the relation of covering by right or left indecomposable chains is still an equivalence relation, and the union of both equivalence relations, is again equivalence.

After we prove that for any infinite chain, if every chain x < A satisfies x.2 < A.

then A is indecomposable.

American Psychological Association (APA)

Majid, Nihad Abd al-Jalil. 2009. On the indecomposable chains. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 17, no. 1, pp.13-17.
https://search.emarefa.net/detail/BIM-243469

Modern Language Association (MLA)

Majid, Nihad Abd al-Jalil. On the indecomposable chains. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 17, no. 1 (2009), pp.13-17.
https://search.emarefa.net/detail/BIM-243469

American Medical Association (AMA)

Majid, Nihad Abd al-Jalil. On the indecomposable chains. Journal of Babylon University : Journal of Applied and Pure Sciences. 2009. Vol. 17, no. 1, pp.13-17.
https://search.emarefa.net/detail/BIM-243469

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 17

Record ID

BIM-243469