💡 Words with a Similar Meaning to "Left ideal"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| right idealnoun | (algebra) A subset of a ring which is closed under right-multiplication by any element of the ring. |
| idealnoun | A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. |
| local ringnoun | (algebra) A commutative ring with a unique maximal ideal, or a noncommutative ring with a unique maximal left ideal or (equivalently) a unique maximal right ideal. |
| left identitynoun | (algebra) An element of a structure that produces an identity mapping when applied on the left. |
| localizationnoun | (software engineering) The act, process, or result of making a product suitable for use in a particular country or region. |
| subfieldnoun | A smaller, more specialized area of study or occupation within a larger one |
| subringnoun | (algebra) A ring which is contained in a larger ring, such that the multiplication and addition on the former are a restriction of those on the latter. When rings are required to have a multiplicative identity (as is standard in most branches of algebra), the subring must also have the same multiplicative identity as the larger ring. |
| two-sided idealnoun | (algebra) A subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis. |
| integral domainnoun | (algebra, ring theory) Any nonzero commutative ring in which the product of nonzero elements is nonzero. |
| principal ideal ringnoun | (algebra, ring theory) A commutative ring in which every ideal is a principal ideal. |
| residue fieldnoun | (algebra) The quotient ring of a commutative ring divided by one of its maximal ideals; by a certain theorem such a quotient ring must be a field. |
| factor ringnoun | (algebra, ring theory) A quotient ring. |
| matrix algebranoun | (algebra) Generically, the arithmetic of matrices, involving matrix addition, scalar multiplication of matrices, matrix multiplication, and matrix inversion. |
| commutative ringnoun | (algebra, ring theory) A ring whose multiplicative operation is commutative. |
| algebra over a ringnoun | (algebra) A module (over a commutative ring R) equipped with a bilinear binary operation taking values in R. |
| preradical | (mathematics) A subfunctor of the identity functor in the category of left modules over a ring with identity. |
| fractional idealnoun | (algebra, ring theory) Given an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R. |
| subalgebranoun | (algebra) A closed subset of an algebra. |
| quotient ringnoun | (algebra, ring theory) For a given ring R and ideal I contained in R, another ring, denoted R / I, whose elements are the cosets of I in R. |
| soclenoun | (architecture) A low plinth or pedestal used to display a statue or other artwork. |
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