Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point
Репозиторій DSpace/Manakin
JavaScript is disabled for your browser. Some features of this site may not work without it.
On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point
Інший ID:
2010 Mathematics Subject Classification:20M20,54H15, 20M18.
Посилання:
On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point / I. Chuchman // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 38–52. — Бібліогр.: 10 назв. — англ.
Дата:
2011
Переглядів:
439
Завантажень:
151
Анотація:
In this paper we study the semigroup IC(I,[a]) (IO(I,[a])) of closed (open) connected partial homeomorphisms of the unit interval I with a fixed point a∈I. We describe left and right ideals of IC(I,[0]) and the Green's relations on IC(I,[0]). We show that the semigroup IC(I,[0]) is bisimple and every non-trivial congruence on IC(I,[0]) is a group congruence. Also we prove that the semigroup IC(I,[0]) is isomorphic to the semigroup IO(I,[0]) and describe the structure of a semigroup II(I,[0])=IC(I,[0])⊔IO(I,[0]). As a corollary we get structures of semigroups IC(I,[a]) and IO(I,[a]) for an interior point a∈I.
