ascending chain condition

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ascending chain condition

[ə‚sen·diŋ ′chān kən‚dish·ən]
(mathematics)
The condition on a ring that every ascending sequence of left ideals (or right ideals) has only a finite number of distinct members.
References in periodicals archive ?
It's not good for the competition, a serious competition, as we must put in the minimum condition of three days.
This exceeds 155,818,056 common shares (representing approximately 5% of the issued and outstanding share capital of SPIL), which satisfied the minimum condition of the ROC Offer and an offer for the company's American Depository Shares, ASE said.
I think it will pave the way for government-sponsored financing if, as a minimum condition, (Tepco's business plan) includes restructuring measures and asset sale put in the report," panel head Kazuhiko Shimokobe said at a media briefing.
Rather, they teach us that the minimum condition of our interactions is a perceptible or visible commitment to ending overt hostility.
Part of the requirements of the modified approach is to establish a minimum condition level at which the infrastructure network is maintained.
The minimum condition concerning the acceptance level required for the tender offer had been met, and WM-data would make a mandatory offer for the remaining shares and stock options of Novo Group, according to the company.
Interbrew has been ordered by British regulators to sell Caning Brewers, as the minimum condition for approval of the Bass takeover.
This," he asserted, "is a minimum condition for any rational system of property taxation.
And his removal from power became a minimum condition of U.
Instead of 90%, the Minimum Condition will now be satisfied if the number of shares tendered, when added to the number of shares owned by Highland and its affiliates, constitutes at least 80% of the then outstanding shares of common stock.
Subject to customary conditions, the tender offer is also subject to a non-waivable minimum condition that there shall have been validly tendered and not withdrawn prior to the expiration of the offer a number of shares of ICG, representing at least a majority of the outstanding shares of ICG.
The five points detail the safeguarding of press freedom as a minimum condition for any media policy, the freedom to engage in new business models, strong copyright protection, a VAT reduction for press and digital print media, and improved competition and transparency in the digital world.
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