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Logical Algebraic Stuctures

منابع و سرفصل:

منابع

1-                                                                Meng, J., Jun, Y.B., BCK-algebras, Kyung Moon Sa, Korea, 294p, (1994).

2-                                                                     Yisheng, H., BCI-algebra, Science Press, China, 356p, (2006).

3-                                           Hajek,P,  Metamathematics of fuzzy Logical, Kluwer Academic Publisher (1998).

سرفصل:

1-(3 جلسه)     General Theory:  Definition and  Elementary Properties , BCK-algebras, P-semisimple Algebras

2-  ( 3 جلسه)                                                                                        : Ideals, Cogruences and Quotient Algebras

3- ( 3 جلسه)                                                                            BCI-homomorphism, Direct Sums and Direct Products

                      4- (6 جلسه)                  ,  Commutative BCK-algebras, Generalized BCK-algebras, Commutative ideals

5- ( 5 جلسه)                          Positive Implicative and Implicative BCK-algebras( BCI-algebras) 

Positive Implicative and Implicative BCK(BCI) -ideals

6- (5 جلسه)                          BCI-algebras with Condition (S), Commutative BCK-algebra with condition (S)   

7- (4 جلسه)                                                                  Normal BCI-algebras, Normal ideals in BCK-algebras, Radical and Ideals

8- (3 جلسه)                                                  BL-algebras, Filters ,  Positive Implicative and Implicative filters   

Quetient BL-algebras Structures