Titlebook: Semidistributive Modules and Rings; Askar A. Tuganbaev Book 1998 Springer Science+Business Media Dordrecht 1998 DEX.Division.Finite.Invari

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Lobotomy

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phytochemicals

Book 1998 H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (resp. semidi

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s F,G, and H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (re

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Rings of quotients,y subset . of . such that 1 ∈ .,0 ∉ . and . is closed under multiplication. A . ideal in a ring . is any proper ideal . such that .. is a multiplicative set (i.e. ./.is a domain). A . ideal (resp. . ideal) in a ring . is any prime (resp. completely prime) ideal . such that . contains no properly any

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Flat modules and semiperfect rings,oup ./., where . is the free .-module with basis indexed by . × ., and . is the subgroup of . generated by all elements of the form.where ., . ∈ ., ., . ∈ ., and . ∈ ..(We write . ⊖ . instead of . ⊖ . if there is no doubt about ..) The image of (.) under a natural map . × . → . ⊖ . is denoted by . ⊖