semiring

Meanings

• noun

  A semiring is a mathematical structure equipped with two binary operations, generally denoted addition and multiplication, that satisfy certain properties.

  - "In mathematics, a semiring is a set equipped with two binary operations."
  - "The concept of a semiring is important in algebraic theory."

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Variants

List of all variants of semiring that leads to same result
simmer , simmered , simmering , simmers , simmer down , simmered down , simmering down , simmers down

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'semiring' is derived from 'semi' meaning half and 'ring' meaning a set with a binary operation.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The concept of semirings was first introduced by Emil Artin in 1935.

2. Semirings can be used to model various mathematical structures, such as lattices and groups.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Ring (mathematics): A ring is a set equipped with two binary operations, addition and multiplication.

2. Semigroup: A semigroup is a set equipped with one binary operation.

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How to Memorize "semiring"

1. visualize
   

   - To visualize a semiring, imagine a set with two binary operations, addition and multiplication.

2. associate
   

   - Associate the term 'semiring' with 'half ring' to remember its meaning.

3. mnemonics
   

   - Use the mnemonic 'SemiRings are Sets with two Important Operations' to remember the definition.

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