Information om | Engelska ordet IDEMPOTENTS
IDEMPOTENTS
Antal bokstäver
11
Är palindrom
Nej
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Exempel på hur man kan använda IDEMPOTENTS i en mening
- A ring satisfies the ascending chain condition on right direct summands if and only if the ring satisfies the descending chain condition on left direct summands if and only if every set of pairwise orthogonal idempotents is finite.
- Every element of S has at least one inverse (S is a regular semigroup) and idempotents commute (that is, the idempotents of S form a semilattice).
- The idempotents of a rectangular semigroup form a sub band that is a rectangular band but a rectangular semigroup may have elements that are not idempotent.
- Orthodox semigroups: a regular semigroup S is orthodox if its subset of idempotents forms a subsemigroup.
- R contains no infinite orthogonal set of idempotents, and every non-zero right R-module contains a minimal submodule.
- In mathematics, the Munn semigroup is the inverse semigroup of isomorphisms between principal ideals of a semilattice (a commutative semigroup of idempotents).
- To give a direct sum decomposition of a module into submodules is the same as to give orthogonal idempotents in the endomorphism ring of the module that sum up to the identity map.
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