• In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of module also...
    21 KB (2,941 words) - 15:57, 20 February 2024
  • hardware Multi-chip module, a modern technique that combines several complex computer chips into a single larger unit Module (mathematics) over a ring, a...
    4 KB (466 words) - 18:17, 13 June 2024
  • In mathematics, a free module is a module that has a basis, that is, a generating set consisting of linearly independent elements. Every vector space is...
    11 KB (1,808 words) - 16:43, 26 May 2024
  • In mathematics, particularly in algebra, the class of projective modules enlarges the class of free modules (that is, modules with basis vectors) over...
    23 KB (3,076 words) - 07:13, 10 May 2024
  • In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated module over a ring R may also be called...
    19 KB (2,837 words) - 22:51, 25 November 2023
  • In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties...
    28 KB (3,919 words) - 11:05, 18 May 2024
  • ISBN 0-226-42454-5, MR 0345945 Lam, Tsit Yuen (1999). Lectures on modules and rings. Graduate Texts in Mathematics. Vol. 189. Springer. ISBN 0-387-98428-3. Lam, Tsit...
    99 KB (13,682 words) - 13:16, 11 April 2024
  • In mathematics, more specifically in ring theory, a cyclic module or monogenous module is a module over a ring that is generated by one element. The concept...
    3 KB (404 words) - 00:12, 27 April 2024
  • subjects, mathematics has been assessed in a modular system since the introduction of Curriculum 2000, whereby each candidate must take six modules, with...
    12 KB (1,338 words) - 11:45, 11 May 2024
  • the definitions of basis, module, and free module. H. B. Williams, an electrophysiologist, wrote in 1927: Now mathematics is both a body of truth and...
    6 KB (743 words) - 14:34, 1 May 2024