homogeneous element वाक्य

उदाहरण वाक्य

1. A " homogeneous subspace " of a super vector space is a linear subspace that is spanned by homogeneous elements.
2. With an "'antipode "'defined on homogeneous elements by, the exterior algebra is furthermore a Hopf algebra.
3. *PM : homogeneous elements of a graded ring, id = 5694-- WP guess : homogeneous elements of a graded ring-- Status:
4. *PM : homogeneous elements of a graded ring, id = 5694-- WP guess : homogeneous elements of a graded ring-- Status:
5. The easiest way to integrate heterogeneous components is not to recreate them as homogeneous elements but to provide a layer that allows them to communicate despite their differences.
6. A graded algebra " A " generated by homogeneous elements of degree 1 has Krull dimension zero if the maximal homogeneous ideal, that is the ideal generated by the homogeneous elements of degree 1, is nilpotent.
7. A graded algebra " A " generated by homogeneous elements of degree 1 has Krull dimension zero if the maximal homogeneous ideal, that is the ideal generated by the homogeneous elements of degree 1, is nilpotent.
8. For example the set of all polynomials in one or several variables forms a graded vector space, where the homogeneous elements of degree " n " are exactly the linear combinations of monomials of degree " n ".
9. If the Krull dimension of " A " is positive, there is a homogeneous element " f " of degree one which is not a zero divisor ( in fact almost all elements of degree one have this property ).
10. (where S _ { ( p ) } denotes the subring of the ring of fractions S _ p consisting of fractions of homogeneous elements of the same degree ) such that for each prime ideal " p " of " U ":