Live briefing
Everything about Semigroup with involution
Semigroup in abstract algebra
In mathematics, particularly in abstract algebra, a semigroup with involution, or a *-semigroup, is a semigroup equipped with an involutive anti-automorphism, which—roughly speaking—brings it closer to a group because this involution, considered as unary operator, exhibits certain fundamental properties of the operation of taking the inverse in a group:Uniqueness Double application "cancelling itself out". The same interaction law with the binary operation as in the case of the group inverse. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Semigroup with involutionA 5-minute orientation
- Skim a recent paper: A new class of generalized inverses in semigroups and rings with involutionInfluential work since 2022
- Read the landmark paper: Natural structures on semigroups with involutionCited 174 times
- Go sideways: Inverse elementA closely related topic
- Go sideways: Inverse semigroupA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Natural structures on semigroups with involution
The Fourier-Stieltjes algebra of a topological semigroup with involution
The Semigroup of Marcinkiewicz Modulars with Involution
Every Commutative Semigroup Can be Embedded into a Complementary Semigroup with Involution
On *-pseudo ideal of a semigroup with involution
On semiprime, Prime and Strongly Prime -bi-ideals in Semigroup with Involution
🆕 Influential since 2022
📚 Books worth reading
Open Library didn't respond; try again in a moment.
🔗 Related topics
- Inverse element In mathematics, the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers. Given an operation denoted…
- Inverse semigroup In semigroup theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse…
- Semigroup In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. In mathematical…
- Monoid In abstract algebra, a monoid is a set equipped with an associative binary operation and an identity element. For example, the natural numbers with addition…
- Homomorphism In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector…
- *-algebra In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting…
- Outline of algebraic structures In mathematics, many types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties…
- Biordered set A biordered set (otherwise known as boset) is a mathematical object that occurs in the description of the structure of the set of idempotents in a semigroup…