Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 2
Pullback diagram of H*-algebras
- Pages
- 318–324
- DOI
- —
Abstract
In this paper we obtain some properties for the pullback diagram of H*-algebras. More precisely, we prove that the commutative diagram of H*-algebras and morphisms A1 @>j1>> B1 @VVy1V @VVy2V A2 @>j2>> B2 is pullback and y1 is an injection if and only if y1 is a surjection, y2 is an injection, and \ker j1 \cap \ker y1 = \{0\}.
Özet
In this paper we obtain some properties for the pullback diagram of H*-algebras. More precisely, we prove that the commutative diagram of H*-algebras and morphisms A1 @>j1>> B1 @VVy1V @VVy2V A2 @>j2>> B2 is pullback and y1 is an injection if and only if y1 is a surjection, y2 is an injection, and \ker j1 \cap \ker y1 = \{0\}.