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The free monoid on a set A is usually denoted A ∗. The free semigroup on A is the subsemigroup of A ∗ containing all elements except the empty string. It is usually denoted A +. [1] [2] More generally, an abstract monoid (or semigroup) S is described as free if it is isomorphic to the free monoid (or semigroup) on some set. [3]
This summary is based largely on the summary provided by the Congressional Research Service, a public domain source. [1]The Permanent S Corporation Built-in Gains Recognition Period Act of 2014 would amend the Internal Revenue Code of 1986 to reduce from 10 to 5 years the period during which the built-in gains of an S corporation are subject to tax and to make such reduction permanent.
An S corporation (or S Corp), for United States federal income tax, is a closely held corporation (or, in some cases, a limited liability company (LLC) or a partnership) that makes a valid election to be taxed under Subchapter S of Chapter 1 of the Internal Revenue Code. [1] In general, S corporations do not pay any income taxes.
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In mathematics, it is more commonly known as the free monoid construction. The application of the Kleene star to a set V {\displaystyle V} is written as V ∗ {\displaystyle V^{*}} . It is widely used for regular expressions , which is the context in which it was introduced by Stephen Kleene to characterize certain automata , where it means ...
In addition, corporations may change key aspects of their legal identity, capitalization, or structure in a tax free manner. Examples of reorganizations that may be tax free include mergers, liquidations of subsidiaries, share for share exchanges, exchanges of shares for assets, changes in form or place of organization, and recapitalizations. [60]
Choosing between the countless free filing tools and paid tax-prep services can be a daunting task, but a new program launched in 2024 that aims to offer a free and simple tax-filing experience.
In mathematics, a factorisation of a free monoid is a sequence of subsets of words with the property that every word in the free monoid can be written as a concatenation of elements drawn from the subsets.
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