On pseudo d-algebras

In this thesis, pseudo d-algebras, direct sum and direct product of pseudo dalgebras, pseudo d-ideals, quotient pseudo d-algebras and pseduo d-homomorphism are investigated. In the rst section, the subject of the thesis is introduced, the goal of working on this area and the development process of the subject are summarized. In the second section, by primarily considering the book of Meng and Jun which was published in 1994, the paper of Dymek which was published in 2011 and the paper of Walendziac which was published 2010, definitions, theorems and propositions are given which are neccessary to understand this thesis. In the third section, d-algebras are investigated. In this section, properties of pseudo d-algebras, direct sum and direct product are examined in detail under sub-headings. Again in this section, d-ideal, quotient d-algebra and d-homomorphism are given. In the fourth section, by primarily considering the paper of Jun, Kim and Neggers which was published in 2009, structure and properties of pseudo d-algebras was investigated to parallel with the third section. In this section, pseudo d-algebras, pseudo dalgebras over elds and edge pseudo d-algebras were detailed in two sub-headings. Also, direct sum and direct product of pseudo and edge pseudo d-algebras was defined and it was investigated. Later, in this section, respectively, pseudo d-ideal and quotient pseudo d-algebras and lastly, pseudo d-homomorphism were investigated in detail.