Mammal
发表于 2025-3-26 21:47:12
Basic Notions,Let the rings under consideration be assumed to be associative with unit and all the modules be unitary and almost everywhere right. So we shall write the homomorphisms of right (left) modules from the left (right).
Serenity
发表于 2025-3-27 02:10:52
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自恋
发表于 2025-3-27 08:32:39
Classical Localizations in Serial Rings,In this section we show that ‘almost all’ classical localizations in a serial ring are the localizations at a semi-prime Goldie ideal. For an ideal . of a ring . by .(.) we denote the set of elements of . whose images are nonzero divisors in ..
名字
发表于 2025-3-27 12:26:04
Serial Prime Goldie Rings,Let us recall that . = Jac(.), . = 1,..., ..
MUTE
发表于 2025-3-27 17:26:53
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安慰
发表于 2025-3-27 17:55:12
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大范围流行
发表于 2025-3-28 01:05:20
Indecomposable Pure Injective Modules over Serial Rings,Let . be an indecomposable idempotent of a serial ring .. A pp-type .(.) is called an . if . | . ∈ .; and pp-formula .(.) is an . if . → . | .. For example, the pp-formula . | . for . ∈ . is an .-formula. A . is a pair 〈., .〉, where . ⊂ . is a right ideal and . ⊂ . is a left ideal of ..
前兆
发表于 2025-3-28 05:53:59
Super-Decomposable Pure Injective Modules over Commutative Valuation Rings,A module . is called . if it contains no indecomposable direct summand. In particular, . = . ⊕ ., . = . ⊕ ., . = . ⊕ . for nonzero ., and so on.
anthesis
发表于 2025-3-28 09:07:51
Pure Injective Modules over Commutative Valuation Domains,In this section we classify in particular, pure injective modules .(.) over commutative valuation domains. But first let us recall some definitions and facts.
Mhc-Molecule
发表于 2025-3-28 10:32:26
Pure Projective Modules over Nearly Simple Uniserial Domains,First let us recall some results about a decomposition of projective modules and an equivalence of categories which will be used in the sequel.