Compendium of Predicates
  • 🌐Orientation
    • ⭐Welcome
    • āœ’ļøNotation
    • šŸ˜…An Example
  • 🧰Definitions
    • Relation Taxonomy
    • Order Taxonomy
    • Algebra
      • Magma
      • Semigroup
      • Monoid
      • Group
      • Ringoid
      • Semiring
      • Ring
      • Unit Ring
      • Boolean Ring
      • Boolean Group
    • Bandler and Kohout Products of Relations
    • Closed
    • Complement
    • De Baets and Kerre Products of Relations
    • Extremal Elements
    • Galois Connection
    • Images of a set under a relation
    • Indexed Union and Intersection
    • Monoidal Preorder
    • Monotone Map
    • Natural Projection
    • Non-Preservation of Extrema
    • Over and Under
    • Power Set
    • Preorder
    • Preservation of Extrema
    • Product
    • Relation Inclusion
    • Row Constant Relations
    • Semilattice
    • Set Inclusion
    • Symmetric Monoidal Preorder
    • Upper Set
  • šŸ”¬Checks
    • šŸŽ™ļøA few words about the checks
    • Indirect Equality and Inclusion
    • Below
    • Extremal Elements
    • Relation Division
    • Algebra
      • Ring
      • Boolean Ring
      • Boolean Group
Powered by GitBook
On this page
  1. Definitions
  2. Algebra

Unit Ring

PreviousRingNextBoolean Ring

Last updated 1 year ago

UnitRingā€…ā€ŠAā€…ā€ŠāŠ—ā€…ā€ŠāŠ•ā€…ā€ŠIā€…ā€ŠU\textbf{UnitRing} \; A \; \otimes \; \oplus \; I \; UUnitRingAāŠ—āŠ•IU

Ringā€…ā€ŠAā€…ā€ŠāŠ—ā€…ā€ŠāŠ•ā€…ā€ŠI\textbf{Ring} \; A \; \otimes \; \oplus \; IRingAāŠ—āŠ•I

RightUnitā€…ā€ŠAā€…ā€ŠāŠ—ā€…ā€ŠU\textbf{RightUnit} \; A \; \otimes \; URightUnitAāŠ—U


pred UnitRing(A: set univ, tms,pls: univ->univ->univ, I,U: univ){
  Ring[A,tms,pls,I]

  RightUnit[A,tms,U]
}
🧰