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Titlebook: Heading North; The North of England Ewa Mazierska Book 2017 The Editor(s) (if applicable) and The Author(s) 2017 North.Manchester.urban.Ind

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Brian Bakermap . is superfluous if and only if . ⊆ rad . 18.3. A module . is a . (proj. cov.) of . provided that . is projective and there exists a minimal epimorphism .. This notion is dual to that of injective hull, and yet, although each .-module has an injective hull, projective covers of modules may fail
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. Also, if . is a class of right .-modules which is Σ-. then we say that . is right . Σ-.. For example, if . is the class of (injective) right .-modules, and . is the class of finitely generated right .-modules, then the corresponding statement is that . is right . Σ. Also, the statement . is right
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Shivani Pal,Andy Willisclass of groups we recall the classification of the finite simple groups. In 1981 it was finally proved, after intensive effort by many workers over several decades, that every finite simple group must be one of the following:.The finite groups of Lie type are analogues over a finite field of the si
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Ein Ring U, der gleichzeitig ein endlich-dimensionaler Vektorraum über einem Körper . ist und die Bedingung . für α ∈ P erfüllt, heißt eine . oder ein . über .. Läßt man die Forderung der Assoziativität fallen, so erhält man den allgemeineren Begriff einer (linearen) .. Unter den nicht assoziativen Algebren sind zwei Arten besonders hervorzuheben:
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of the object’s existence, of the same permanent characteristics. Formal translation of this definition into mathematical terms leads to a disappointing conclusion: an identity is an expression of the form . = ..
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