Sedative
发表于 2025-3-23 10:44:23
From Child Terrorism to Peace Activismcular, rad . is an ideal of .. A good way to understand rad . is to think of it as the ideal of elements annihilating all left (resp. right) simple .-modules. The Jacobson radical is also closely tied in with .(.), the group of units of .. In fact, rad . is the largest ideal . such that 1 + . ⊆ .(.).
妨碍
发表于 2025-3-23 15:17:16
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Mediocre
发表于 2025-3-23 18:34:03
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bacteria
发表于 2025-3-24 01:02:08
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Ambulatory
发表于 2025-3-24 06:26:27
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Bone-Scan
发表于 2025-3-24 07:51:02
Jacobson Radical Theory,cular, rad . is an ideal of .. A good way to understand rad . is to think of it as the ideal of elements annihilating all left (resp. right) simple .-modules. The Jacobson radical is also closely tied in with .(.), the group of units of .. In fact, rad . is the largest ideal . such that 1 + . ⊆ .(.).
Confirm
发表于 2025-3-24 12:24:59
Introduction to Representation Theory, is a field. For such an algebra ./rad . is a finite-dimensional semisimple .-algebra, whose structure is completely determined by Wedder-burn’s Theorem. Thus, the study of simple (and semisimple) left .-modules is well under control.
Flavouring
发表于 2025-3-24 16:24:51
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商品
发表于 2025-3-24 20:51:04
Local Rings, Semilocal Rings, and Idempotents,ary rings: a (nonzero) ring . is said to be . if . has a unique maximal left ideal. This definition turns out to be left-right symmetric, and is equivalent to the condition that ./rad . be a division ring.
Dappled
发表于 2025-3-25 01:04:29
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