simple module in a sentence

1. Consequently, the endomorphism ring of any simple module is a division ring.
2. However, the simple modules with characteristic dividing the group order are rarely projective.
3. For simple modules, BisQue can execute them on a single node.
4. In particular, the endomorphism ring of a simple module is a division ring.
5. Simpler modules will be fitted to racing yachts during next year's round-the-world Volvo Ocean Race.
6. It's difficult to find simple module in a sentence.
7. The structure analogous to an irreducible representation in the resulting theory is a simple module.
8. This is a simple module to strip wikitext.
9. Simple modules are sometimes called " irreducible ".
10. The category of such modules is semisimple, so every module is a direct sum of simple modules.
11. It is true that simple module doesn't really belong, so I deleted it's membership in the category.
12. Every simple module is indecomposable, but there are indecomposable modules which are not simple ( e . g . uniform modules ).
13. The proof is similar, but does not reduce immediately to simple modules . talk ) 04 : 03, 27 January 2009 ( UTC)
14. A simple module over " k "-algebra is said to be absolutely simple if its endomorphism ring is isomorphic to " k ".
15. In the context of group algebras of finite groups over modular characters of simple modules represent both a subring and a quotient ring.
16. The Grothendieck group ignores the order in a composition series and views every finite length module as a formal sum of simple modules.
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