Reduction modulo p Clause Samples

Reduction modulo p. Suppose A is a finite dimensional algebra over a field K of arbitrary characteristic. We say that an A-module U is absolutely simple and the corresponding representation is absolutely irreducible if for all extensions E of K we have that E ⊗K U is as simple E ⊗K A-module. We say that some extension E of K is a splitting field for A if and only if every E ⊗K A-module is absolutely simple. If A is the group algebra KG then we say E is a splitting field for G if it is a splitting field for KG. The following lemma is due to ▇▇▇▇▇▇.
View SourceView Similar (2)

Related to Reduction modulo p

  • Start-Up and Synchronization Consistent with the mutually acceptable procedures of the Developer and Connecting Transmission Owner, the Developer is responsible for the proper synchronization of the Large Generating Facility to the New York State Transmission System in accordance with NYISO and Connecting Transmission Owner procedures and requirements.

  • Reduction A. No regular employee or limited-term regular employee shall be reduced to a position in a lower class for reasons of unsatisfactory performance or physical disability except for reasonable cause. B. A written notice of such reduction stating specifically the cause of the reduction shall be given to the employee. C. In accordance with the provisions of Article X, an appeal of reduction for reasons of unsatisfactory performance or physical disability shall be initiated at the Step 2 of the grievance/appeal procedure; except for reductions imposed by the County Executive Officer which may be referred directly to arbitration.

  • Acceptance Testing At the time of installation of a LIS trunk group, and at no additional charge, acceptance tests will be performed to ensure that the service is operational and meets the applicable technical parameters.

  • Loop Provisioning Involving Integrated Digital Loop Carriers 2.6.1 Where Freedom has requested an Unbundled Loop and BellSouth uses IDLC systems to provide the local service to the End User and BellSouth has a suitable alternate facility available, BellSouth will make such alternative facilities available to Freedom. If a suitable alternative facility is not available, then to the extent it is technically feasible, BellSouth will implement one of the following alternative arrangements for Freedom (e.g. hairpinning): 1. Roll the circuit(s) from the IDLC to any spare copper that exists to the customer premises. 2. Roll the circuit(s) from the IDLC to an existing DLC that is not integrated. 3. If capacity exists, provide "side-door" porting through the switch. 4. If capacity exists, provide "Digital Access Cross Connect System (DACS)- door" porting (if the IDLC routes through a DACS prior to integration into the switch). 2.6.2 Arrangements 3 and 4 above require the use of a designed circuit. Therefore, non- designed Loops such as the SL1 voice grade and UCL-ND may not be ordered in these cases. 2.6.3 If no alternate facility is available, and upon request from Freedom, and if agreed to by both Parties, BellSouth may utilize its Special Construction (SC) process to determine the additional costs required to provision facilities. Freedom will then have the option of paying the one-time SC rates to place the Loop.

  • Integration; Modification This Construction Services Agreement represents the entire understanding of District and Contractor as to those matters contained herein, and supersedes and cancels any prior oral or written understanding, promises or representations with respect to those matters covered herein, and it shall not be amended, altered or changed except by a written agreement signed by the parties hereto.