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Algebraic Monoids and Renner Monoids
2014We collect some necessary concepts and principles in the theory of linear algebraic monoids which apply to further investigation on other topics such as the classification of reductive monoids, representations of algebraic monoids, monoids of Lie type, cell decompositions, monoid Hecke algebra, and monoid schemes.
Zhenheng Li, Zhuo Li, You’an Cao
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ACM SIGPLAN Notices, 2012
The monoid is a humble algebraic structure, at first glance even downright boring. However, there's much more to monoids than meets the eye. Using examples taken from the diagrams vector graphics framework as a case study, I demonstrate the power and beauty of monoids for library design.
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The monoid is a humble algebraic structure, at first glance even downright boring. However, there's much more to monoids than meets the eye. Using examples taken from the diagrams vector graphics framework as a case study, I demonstrate the power and beauty of monoids for library design.
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1992
These are sketchy lecture notes intended to show that the concepts of divisibility, prime elements and prime-decompositions are most efficiently treated in the framework of monoids. The results then apply both to the multiplicative monoid of the natural numbers and that of the monic polynomials over a field.
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These are sketchy lecture notes intended to show that the concepts of divisibility, prime elements and prime-decompositions are most efficiently treated in the framework of monoids. The results then apply both to the multiplicative monoid of the natural numbers and that of the monic polynomials over a field.
openaire +1 more source
Transformation monoids with finite monoidal intervals
Algebra universalis, 2017In this paper, we investigate transformation monoids that are built up from inverse transformation monoids constructed from finite lattices by adding all the unary constant transformations. We give a complete description for the corresponding monoidal intervals in the clone lattice.
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A characterization of weakly Krull monoid algebras
Journal of Algebra, 2022Victor Fadinger, Daniel Windisch
exaly
Identities and bases in the hypoplactic monoid
Communications in Algebra, 2022António Malheiro, Duarte Ribeiro
exaly
On the distribution of prime divisors in class groups of affine monoid algebras
Communications in Algebra, 2022Victor Fadinger, Daniel Windisch
exaly
Construction of a minimal realization and monoid for a fuzzy language: a categorical approach
Journal of Applied Mathematics and Computing, 2014Anupam Singh, Anupam K Singh
exaly