Consider the Poset with the Following Hasse Diagram

question 6

Essay

Consider the poset with the following Hasse diagram.
(a) Find all maximal elements of the poset.
(b) Find all minimal elements of the poset.
(c) Find the least element of the poset if it exists, or show that it does not exist.
(d) Find the greatest element of the poset if it exists, or show that it does not exist.
(e) What is the greatest lower bound of the set {a, b, c}?
(f) What is the least upper bound of the set {a, b, c}?

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Definitions:

Common Stock

Equity ownership in a corporation, with voting rights and the potential to receive dividends.

Cash Dividend

A payment made by a company to its shareholders, usually as a distribution of profits.

Journal Entry

A record in the books of accounts that represents a business transaction, including the accounts and amounts to be debited and credited.

Dividend Yield Ratio

A business ratio reflecting the amount a firm disburses in dividends annually compared to the price of its shares.