How to use semigroup in a sentence
11 example sentences · noun
Semigroup means any set for which there is a binary operation that is closed and associative. Example: “Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory.”
Examples of semigroup by meaning
nounAny set for which there is a binary operation that is closed and associative.
- If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S.1961, Alfred Hoblitzelle Clifford, G. B. Preston, The Algebraic Theory of Semigroups, page 70
- If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup.2012, Jorge Almeida, Benjamin Steinberg, “Syntactic and Global Subgroup Theory: A Synthesis Approach”, in Jean-Camille Birget, Stuart...
More sentences with semigroup
- Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory.From the entry pseudovariety
- Abstractly, additive number theory includes the study of abelian groups and commutative semigroups with an addition operation.From the entry additive number theory
- Every finite semigroup has an idempotent element.From the entry idempotent
- Inverse semigroups are central to modern semigroup theory: arguably, they form the most-studied class of semigroups.2014, Christopher Hollings, Mathematics across the Iron Curtain: A History of the Algebraic Theory of Semigroups, page 249. From the entry inverse semigroup
- Since (Bl) and (B2) hold, (S, ·, ′) is a semigroup.2010 March 31, João Araújo, Michael Kinyon, “New Characterizations”, in Axioms for Unary Semigroups via Division Operations, page 5. From the entry inversivity
- Inverse semigroups form a class of semigroups which are closest (in some sense) to groups.2008, Olexandr Ganyushkin, Volodymyr Mazorchuk, Classical Finite Transformation Semigroups: An Introduction, page v. From the entry inverse semigroup
- For a Clifford semigroup S, we show that `1(S) is approximately left character biprojective if and only if `1(S) is pseudo-amenable.2016, Amir Sahami, “On approximately left phi-biprojective banach algebras”, in arXiv. From the entry biprojective
- An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8. From the entry iterate
- Knopfmacher gives an interesting exposition of abstract analytic number theory wherein many of the results of classical number theory are generalized in a suitable context of semigroups satisfying certain axioms.2006, R. Sivaramakrishnan, Certain Number-Theoretic Episodes In Algebra, Taylor & Francis (Chapman & Hall/CRC), page 339. From the entry abstract analytic number theory
Meaning of semigroup
- noun Any set for which there is a binary operation that is closed and associative.
Questions about semigroup in a sentence
- How do you use semigroup in a sentence?
- Semigroup is used as a noun. For example: “Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory.”
- What is a short sentence with semigroup?
- “Every finite semigroup has an idempotent element.”
- What does semigroup mean?
- Semigroup means any set for which there is a binary operation that is closed and associative.
Source and license
Adapted from Wiktionary: semigroup (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.
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