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  2. Perfect ring - Wikipedia

    en.wikipedia.org/wiki/Perfect_ring

    The following equivalent definitions of a left perfect ring R are found in Anderson and Fuller: [2]. Every left R-module has a projective cover.; R/J(R) is semisimple and J(R) is left T-nilpotent (that is, for every infinite sequence of elements of J(R) there is an n such that the product of first n terms are zero), where J(R) is the Jacobson radical of R.

  3. The 12 best places to buy jewelry online in 2025 - AOL

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    Maddie 18K Gold Ring Set . $88 at Baublebar. Custom Cluster Charm Pendant . $88 at Baublebar. Mejuri. ... This online marketplace allows jewelry makers to list their pieces for sale, and there are ...

  4. Krull–Schmidt category - Wikipedia

    en.wikipedia.org/wiki/Krull–Schmidt_category

    Let C be an additive category, or more generally an additive R-linear category for a commutative ring R. We call C a Krull–Schmidt category provided that every object decomposes into a finite direct sum of objects having local endomorphism rings. Equivalently, C has split idempotents and the endomorphism ring of every object is semiperfect.

  5. Semiperfect ring - Wikipedia

    en.wikipedia.org/?title=Semiperfect_ring&redirect=no

    To a section: This is a redirect from a topic that does not have its own page to a section of a page on the subject. For redirects to embedded anchors on a page, use {{R to anchor}} instead.

  6. Glossary of ring theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_ring_theory

    A ring R is left self-injective if the module R R is an injective module. While rings with unity are always projective as modules, they are not always injective as modules. semiperfect A semiperfect ring is a ring R such that, for the Jacobson radical J(R) of R, (1) R/J(R) is semisimple and (2) idempotents lift modulo J(R). semiprimary

  7. All the things you wanted to know about Super Bowl rings but ...

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    The jeweler, perhaps better known for its high school and college ring business, has made 38 of the 57 Super Bowl rings, including the very first, which was designed by Vince Lombardi himself.

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