The relation between the ring theory & graph theory.

Conclusion

• Recap key points.
• Encourage stargazing and appreciation of the night sky
• Highlight the enduring beauty and cultural richness of constellations

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Celestial Coordinates and Constellation Maps

• Understanding right ascension and declination
• How to use star charts and apps
• Seasonal changes in constellations

Ring Zn

• Zn= {0 ̅, 1 ̅, …, (n-1) ̅}.
• (Zn , +) is an abelian group.
• Thank you for listining to me

RING

Explore the graph theory

Deep-Sky Objects within Constellations

• Open clusters, globular clusters, and nebulae.
• Famous deep-sky objects associated with specific constellations.

Introduction

Definition of ring: Let R≠Ø with two operations (+,.) such that

• (R, +) is an abelian group.
• a,b,c in R,a(bc)=(ab)c.
• a,b,c in R,a(b+c)=ab+ac.
• a,b,c in R,(b+c)a=ba+ca.

Then (R, +,.) is a ring. More over if for all a,b in R, (ab=ba), then

(R,+,.) is called a commutative ring.