Incubator escapee wiki:WikiProject Mathematics/PlanetMath Exchange/08-XX General algebraic systems
Template:Planetmath instructions
08-00 General reference works (handbooks, dictionaries, bibliographies, etc.)Edit
08A02 Relational systems, laws of compositionEdit
- PM: closure of a relation, id=8492new! -- WP guess: closure of a relation -- Status:
- PM: relational system, id=8788new! -- WP guess: relational system -- Status:
08A05 Structure theoryEdit
- PM: direct product of algebras, id=8967new! -- WP guess: direct product of algebras -- Status:
- PM: homomorphism between algebraic systems, id=7934new! -- WP guess: homomorphism between algebraic systems -- Status:
- PM: isomorphism theorems on algebraic systems, id=8984new! -- WP guess: isomorphism theorems on algebraic systems -- Status:
- PM: kernel of a homomorphism between algebraic systems, id=8593new! -- WP guess: kernel of a homomorphism between algebraic systems -- Status:
- PM: Smarandache n-structure, id=5770new! -- WP guess: Smarandache n-structure -- Status:
- PM: subalgebra of an algebraic system, id=8961new! -- WP guess: subalgebra of an algebraic system -- Status:
- PM: subdirect product of algebraic systems, id=8972new! -- WP guess: subdirect product of algebraic systems -- Status:
08A30 Subalgebras, congruence relationsEdit
- PM: congruence lattice, id=9407new! -- WP guess: congruence lattice -- Status:
- PM: congruence relation on an algebraic system, id=8594new! -- WP guess: congruence relation on an algebraic system -- Status:
- PM: ground fields and rings, id=7909new! -- WP guess: ground fields and rings -- Status:
- PM: permutable congruences, id=9469new! -- WP guess: permutable congruences -- Status:
- PM: simple algebraic system, id=9013new! -- WP guess: simple algebraic system -- Status:
08A40 Operations, polynomials, primal algebrasEdit
- PM: coefficients of a polynomial, id=4953 -- WP: polynomial, coefficient -- Status: A
- -- Paul August ☎ 21:33, Feb 2, 2005 (UTC)
- PM: polynomials in algebraic systems, id=9025new! -- WP guess: polynomials in algebraic systems -- Status:
08A50 Word problemsEdit
08A55 Partial algebrasEdit
08A62 Finitary algebrasEdit
08A99 MiscellaneousEdit
- PM: binary operation, id=3574 -- WP: binary operation -- Status: A
- -- Paul August ☎ 22:44, Feb 2, 2005 (UTC)
- PM: filtered algebra, id=3938 -- WP: guess: filtered algebra -- Status: C
- It certainly comes up in my work fairly often, so I think it should be covered. It could also be merged with the graded algebra article Jtwdog 17:36, 3 October 2005 (UTC)
- Ok, I copied it and made some minor revisions. Jtwdog 16:51, 20 October 2005 (UTC)
- PM: sum of ideals, id=6250 -- WP: ideal (ring theory) -- Status: A
- Actually, it is covered. Jtwdog 17:36, 3 October 2005 (UTC)
- PM: alternative definition of group, id=6876 -- Status: N
- PM: division in group, id=6877 -- Status: N
- PM: special notations in algebra, id=6955 -- WP guess: special notations in algebra -- Status:
- PM: example of straight-line program, id=8382new! -- WP guess: example of straight-line program -- Status:
- PM: inverse of inverse in a group, id=7676new! -- Status: N
- PM: method of repeated squaring, id=8381new! -- WP: Exponentiation by squaring -- Status: A
- PM: opposite group, id=9477new! -- WP guess: opposite group -- Status: NC
- This article covers the categorical dual of a group, which is already defined and covered in Natural transformation. However it doesn't seem reasonable to force a beginning algebra student to learn category theory in order to learn what an opposite group is. For that matter, we need an opposite functor article as well, and several of the examples on functor could stand to have their own pages. Then it all needs linking together! I'll try to work on this a little. --Dan131m (talk) 04:04, 4 October 2009 (UTC)
- PM: straight-line program, id=8377new! -- WP guess: straight-line program -- Status:
- PM: word, id=8137new! -- WP: word (group theory) -- Status: A
08Axx Algebraic structuresEdit
08B20 Free algebrasEdit
- PM: algebraic categories without free objects, id=9104new! -- WP guess: algebraic categories without free objects -- Status:
- PM: free algebra, id=9097new! -- WP guess: free algebra -- Status:
- PM: free associative algebra, id=9098new! -- WP guess: free associative algebra -- Status:
- PM: free commutative algebra, id=9103new! -- WP guess: free commutative algebra -- Status:
- PM: free Lie algebra, id=9099new! -- WP guess: free Lie algebra -- Status:
- PM: presentations of algebraic objects, id=9105new! -- WP guess: presentations of algebraic objects -- Status:
08B25 Products, amalgamated products, and other kinds of limits and colimitsEdit
- PM: direct limit of algebraic systems, id=9156new! -- WP guess: direct limit of algebraic systems -- Status:
- PM: reduced direct product, id=9482new! -- WP guess: reduced direct product -- Status:
- PM: restricted direct product of algebraic systems, id=9395new! -- WP guess: restricted direct product of algebraic systems -- Status:
08B26 Subdirect products and subdirect irreducibilityEdit
08B30 Injectives, projectivesEdit
- PM: complex projective line, id=4818 -- WP: complex projective line -- Status: A
- This article is extremely misclassified, but I suppose that's not very important to us. Jtwdog 17:38, 3 October 2005 (UTC)
08B99 MiscellaneousEdit
- PM: identity in a class, id=9035new! -- WP guess: identity in a class -- Status:
08Bxx VarietiesEdit
08C99 MiscellaneousEdit
- PM: Variation, id=6579 -- WP: Proportionality (mathematics) -- Status: A
- -- Oddly named PM article, seems to really be about porportionality. Paul August ☎ 04:45, Feb 3, 2005 (UTC)