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Algebra universalis, 2011
The notion almost-Schreier monoid is introduced and investigated. Here, a monoid means a (multiplicative) commutative semigroup with \(1\) and \(0\), such that the semigroup without \(0\) is cancellative; an example to keep in mind is a domain when only multiplication is considered as operation.
Dumitrescu, Tiberiu, Khalid, Waseem
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The notion almost-Schreier monoid is introduced and investigated. Here, a monoid means a (multiplicative) commutative semigroup with \(1\) and \(0\), such that the semigroup without \(0\) is cancellative; an example to keep in mind is a domain when only multiplication is considered as operation.
Dumitrescu, Tiberiu, Khalid, Waseem
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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.
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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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Toric varieties, monoid schemes and cdh descent
Journal Fur Die Reine Und Angewandte Mathematik, 2015, Christian Haesemeyer
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Partial monoid actions and a class of restriction semigroups
Journal of Algebra, 2015Ganna Kudryavtseva
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Identities in upper triangular tropical matrix semigroups and the bicyclic monoid
Journal of Algebra, 2018Laure Daviaud +2 more
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