| 41. | In mathematics, an "'endomorphism "'is a morphism ( or homomorphism ) from a mathematical object to itself.
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| 42. | When the field is not algebraically closed, the case where the endomorphism ring is as small as possible is still of particular interest.
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| 43. | For each " j ", such that the resulting maps on endomorphism of the elliptic complex " T ".
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| 44. | The endomorphism algebra of a tilting module over a hereditary finite dimensional algebra is called a "'tilted algebra " '.
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| 45. | In essence, the most general form of a ring, is the endomorphism group of some abelian " X "-group.
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| 46. | Non-commutative local rings arise naturally as endomorphism rings in the study of length and is indecomposable, then its endomorphism ring is local.
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| 47. | Non-commutative local rings arise naturally as endomorphism rings in the study of length and is indecomposable, then its endomorphism ring is local.
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| 48. | More generally, endomorphism rings of abelian groups are rarely commutative, the simplest example being the endomorphism ring of the Klein four-group.
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| 49. | More generally, endomorphism rings of abelian groups are rarely commutative, the simplest example being the endomorphism ring of the Klein four-group.
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| 50. | A " difference ring " is a commutative ring R together with a ring endomorphism \ sigma \ colon R \ to R.
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