On isomorphism theorems forC(X)

P. R. Misra

doi:10.1007/bf01896704

On isomorphism theorems forC(X)

Acta Mathematica Academiae Scientiarum Hungaricae ◽

10.1007/bf01896704 ◽

1982 ◽

Vol 39 (4) ◽

pp. 379-380 ◽

Cited By ~ 4

Author(s):

P. R. Misra

Keyword(s):

Isomorphism Theorems

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On fundamental isomorphism theorems in soft subgroups

Soft Computing ◽

10.1007/s00500-020-05074-5 ◽

2020 ◽

Vol 24 (16) ◽

pp. 11841-11851

Author(s):

N. Çağman ◽

R. Barzegar ◽

S. B. Hosseini

Keyword(s):

Isomorphism Theorems

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Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups

Symmetry ◽

10.3390/sym10080321 ◽

2018 ◽

Vol 10 (8) ◽

pp. 321 ◽

Cited By ~ 4

Author(s):

Mehmet Çelik ◽

Moges Shalla ◽

Necati Olgun

Keyword(s):

Group Theory ◽

Significant Role ◽

Classical Group ◽

Algebraic Structures ◽

Algebraic Systems ◽

Homomorphism Theorem ◽

Special Cases ◽

Isomorphism Theorems

In classical group theory, homomorphism and isomorphism are significant to study the relation between two algebraic systems. Through this article, we propose neutro-homomorphism and neutro-isomorphism for the neutrosophic extended triplet group (NETG) which plays a significant role in the theory of neutrosophic triplet algebraic structures. Then, we define neutro-monomorphism, neutro-epimorphism, and neutro-automorphism. We give and prove some theorems related to these structures. Furthermore, the Fundamental homomorphism theorem for the NETG is given and some special cases are discussed. First and second neutro-isomorphism theorems are stated. Finally, by applying homomorphism theorems to neutrosophic extended triplet algebraic structures, we have examined how closely different systems are related.

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