Semidirect

Quick meaning: Semidirect is an adjective meaning Neither unqualifiedly direct nor unqualifiedly indirect.

Meaning

Neither unqualifiedly direct nor unqualifiedly indirect.

More Meanings

1. (mathematics, group theory) That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.

Example Sentences

Problem 37. A semidirect sum of Lie algebras is a Lie algebra.

It follows from 2° that σ induces the action homomorphism θ = σπ₁, which we call semidirect. We say that σ is a homomorphic transformation of (A, U). If θ is the semidirect action homomorphism, then it follows from 1° that the θ-module is the semidirect sum ^𝔇 of (A^× U^×) and (B, V).

In response to the supplier's request for improving the semidirect operations (parts supply and line management operations) at the final assembly processes and reducing labor requirements for semidirect operations, JMAC began its assessment of the situation by researching and analyzing in detail the current operations and work methods.

2002, Joseph J. Rotman, Advanced Modern Algebra, American Mathematical Society, Graduate Studies in Mathematics, Volume 114, 2nd Edition, page 761, A semidirect product is so called because a direct product G of K and Q requires, in addition to K + Q = G and K ∩ Q = {1}, that both subgroups K and Q be normal (Proposition 1.86); here, only one subgroup must be normal.

Word Forms

• semi-direct

Related Words

Related dictionary entries include undirect, unstraightforward, nonabductive, nondirective, unexplicit, undirectional.

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