obrt: ≈ sole proprietorship; several types: slobodni, vezani, and povlašteni obrt (free, tied, and privileged proprietorship registered according to profession; tied and privileged proprietorships are those only master craftsmen can register,) paušalni obrt, obrt-dohodaš, obrt-dobitaš (flat-rate proprietorship, income tax p., profits tax p.; these are registered according to the type of taxation; first two are obligated to pay income tax and the last one is obligated to pay profits tax), sezonski obrt (seasonal proprietorship, that runs for a limited number of months during a year)
New York Shall contain the word "corporation", "incorporated" or "limited", or an abbreviation of one of such words; there is also a long list of words a business corporation is not allowed to use without additional approval from other agencies including "board of trade", "state police", "urban development", "chamber of commerce", "state trooper", "urban relocation", "community renewal", "tenant relocation", "acceptance", "endowment", "loan", "annuity", "fidelity", "mortgage", "assurance", "finance", "savings" and many others New York State Consolidated Laws, Business Corporations Law § 301; Not-For-Profit Corporations Law, § 301
The law specifies that all taxable personal property must be assessed as of a specific point in time, and that point is precisely at 12:01 a.m. January 1 (regardless of what transpires after that date). Even if closed shortly after the lien date, a business must still file a Business Property Statement and pay taxes for the coming fiscal year on any taxable property they owned on the lien date.
GmbH (Gesellschaft mit beschränkter Haftung) Sàrl (Société à responsabilité limitée) Sagl (Società a garanzia limitata) ≈ Ltd. (UK), LLC (US). Min. capital CHF 20,000. Registered shares only, of a par value of min. CHF 100 each. Name, address and share of each owner (and any changes) publicly recorded in the Official Register of Commerce.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.