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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. 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.

  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. Stirling numbers of the second kind - Wikipedia

    en.wikipedia.org/wiki/Stirling_numbers_of_the...

    The Stirling numbers of the second kind, written (,) or {} or with other notations, count the number of ways to partition a set of labelled objects into nonempty unlabelled subsets.

  6. Hairwork - Wikipedia

    en.wikipedia.org/wiki/Hairwork

    In America, popular magazines of the period, like Godey's Lady's Book, printed patterns and offered starter kits with the necessary tools for sale. Books of the period, like Mark Campbell's Self-Instructor in the Art of Hair Work offered full volumes devoted to hairwork and other "fancywork," as predominantly female crafts were known at the time.

  7. Pinky ring - Wikipedia

    en.wikipedia.org/wiki/Pinky_ring

    At times, pinky rings have been worn with the intent to convey a message or indicate affiliation. During the Victorian era, both single men and women uninterested in pursuing marriage could wear a ring on the little finger of their left hand. [5] Especially in the United States, pinky rings also developed an association with criminal activity. [6]

  8. Matrix ring - Wikipedia

    en.wikipedia.org/wiki/Matrix_ring

    Some sets of infinite matrices form infinite matrix rings. A subring of a matrix ring is again a matrix ring. Over a rng, one can form matrix rngs. When R is a commutative ring, the matrix ring M n (R) is an associative algebra over R, and may be called a matrix algebra.

  9. Talk:Semiperfect ring - Wikipedia

    en.wikipedia.org/wiki/Talk:Semiperfect_ring

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