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Fully Dual-Stable S-system | ||
| Journal of University of Babylon | ||
| Article 1, Volume 25, Issue 2, 2017, Pages 380-371 | ||
| Authors | ||
| Asaad M.A. Al-Husaini; Haider Hussein Almamori | ||
| Abstract | ||
| An S-system M is fully stable if (N) N for each subsystem N and S –homomorphism of N into M . In this paper we study the dual concept of full stability. Duo property of an S- system being a necessary condition for both full stability and full dual stability, and quasi-projectivity is sufficient condition for duo to be fully dual stable system. Several properties and characterizations of full dual stability are investigated. | ||
| Keywords | ||
| dual; stable subsystem; fully dual; stable S; system; duo S; quasi projective S; Hopfian and Co; Hopfian S; Hopfian | ||
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