division ring sentence - division ring sentence in Hindi (1-10)

	1.	Every division ring is therefore a division algebra over its center.
	2.	The center of a division ring is commutative and therefore a field.
	3.	In fact a division ring is also a simple ring.
	4.	Consequently, the endomorphism ring of any simple module is a division ring.
	5.	The projective line over a division ring results in a single auxiliary point.
	6.	Unlike quaternions they do not form a division ring.
	7.	This shows that integral domains and division rings don't have such idempotents.
	8.	In particular, the endomorphism ring of a simple module is a division ring.
	9.	Moufang planes are coordinatized by alternative division rings.
	10.	In contemporary mathematics, the division ring of quaternions exemplifies an algebra over a field.

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