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What (who) is cyclic semigroup - definition

GENERALIZATION OF THE EXPONENTIAL FUNCTION

C0 semigroup; Strongly continuous semigroup; One-parameter semigroup; Diffusion semigroup; Mild solution

Monogenic semigroup

SEMIGROUP GENERATED BY A SINGLE ELEMENT

Cyclic semigroup; Periodic semigroup

In mathematics, a monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups.

https://en.wikipedia.org/wiki/Monogenic_semigroup

Cyclic peptide

PEPTIDE CHAINS WHICH CONTAIN A CIRCULAR SEQUENCE OF BONDS

Cyclic peptides; Peptides, cyclic; Cyclic polypeptides; Cyclic protein; Cyclic polypeptide; Cyclopeptides; Cyclopeptide; Peptide macrocycle

Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends of the peptide, for example in cyclosporin; a connection between the amino end and a side chain, for example in bacitracin; the carboxyl end and a side chain, for example in colistin; or two side chains or more complicated arrangements, for example in amanitin.

https://en.wikipedia.org/wiki/Cyclic_peptide

Null semigroup

SEMIGROUP WITH AN ABSORBING ELEMENT, CALLED ZERO, IN WHICH THE PRODUCT OF ANY TWO ELEMENTS IS ZERO

Zero semigroup; Left zero semigroup; Right zero semigroup

In mathematics, a null semigroup (also called a zero semigroup) is a semigroup with an absorbing element, called zero, in which the product of any two elements is zero. If every element of a semigroup is a left zero then the semigroup is called a left zero semigroup; a right zero semigroup is defined analogously.

https://en.wikipedia.org/wiki/Null_semigroup

Wikipedia

C0-semigroup

In mathematics, a C₀-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations and partial differential equations.

Formally, a strongly continuous semigroup is a representation of the semigroup (R₊, +) on some Banach space X that is continuous in the strong operator topology. Thus, strictly speaking, a strongly continuous semigroup is not a semigroup, but rather a continuous representation of a very particular semigroup.

https://en.wikipedia.org/wiki/C0-semigroup