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Communications in Algebra, ISSN 0092-7872, 07/2017, Volume 45, Issue 7, pp. 2795 - 2808
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2018, Volume 333, pp. 931 - 1003
We give a complete description of the congruence lattices of the following finite diagram monoids: the partition monoid, the planar partition monoid, the... 
Motzkin monoids | Congruences | Diagram monoids | Partition monoids | Brauer monoids | Jones monoids | KAUFFMAN | SEMIGROUP | MATHEMATICS | SINGULAR PART | ALGEBRAS | REPRESENTATION-THEORY | IDEMPOTENTS | TRANSFORMATIONS
Journal Article
Journal of algebra, ISSN 0021-8693, 2019, Volume 522, pp. 351 - 385
We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley–Lieb) and Kauffman monoids. The... 
Enumeration | Jones monoids | Idempotents | Motzkin monoids | Temperley–Lieb monoids | Kauffman monoids | Diagram monoids | Partition monoids | MATHEMATICS | SINGULAR PART | SEMIGROUPS | ALGEBRAS | INVARIANT | LATTICES | KAUFFMAN
Journal Article
Communications in algebra, ISSN 0092-7872, 01/2020, Volume 48, Issue 6, pp. 2662 - 2680
Doran, Giansiracusa, and Jensen showed a bijection between homogeneous elements in the Cox ring of not divisible by any exceptional divisor section, and... 
Monoids
Journal Article
Semigroup forum, ISSN 0037-1912, 08/2020, Volume 101, Issue 1, pp. 51 - 76
Semigroup Forum (2020) We study automaton structures, i.e. groups, monoids and semigroups generated by an automaton, which, in this context, means a... 
Journal Article
Journal of algebra, ISSN 0021-8693, 2019, Volume 518, pp. 40 - 56
Given an ambient ordered field K, a positive monoid is a countably generated additive submonoid of the nonnegative cone of K. In this paper, we first... 
Atomicity | Ordered field | BF-monoid | FF-monoid | Puiseux monoid | Positive monoid | Archimedean field | MATHEMATICS | SETS | KRULL MONOIDS | Mathematics - Commutative Algebra
Journal Article
Acta mathematica vietnamica, ISSN 0251-4184, 03/2020, Volume 45, Issue 1, pp. 11 - 26
Journal Article
Semigroup Forum, ISSN 0037-1912, 6/2018, Volume 96, Issue 3, pp. 417 - 437
We study two classes of modules for order preserving symplectic and order preserving even special orthogonal rook monoids. The first class of modules are... 
Algebra | Mathematics | Symplectic rook monoid | Orthogonal rook monoid | Irreducible module | Rook monoid | Order preserving | RENNER MONOIDS | MATHEMATICS | REPRESENTATIONS | ALGEBRAIC MONOIDS | Information science
Journal Article
Semigroup Forum, ISSN 0037-1912, 12/2018, Volume 97, Issue 3, pp. 435 - 456
The construction of bases for quotients is an important problem. In this paper, applying the method of rewriting systems, we give a unified approach to... 
Free $$$$ ∗ -monoids | Free groups | Mathematics | Algebra | Term-rewriting systems | Operated monoids | Free ∗ -monoids | MATHEMATICS | Free -monoids | RENORMALIZATION | Mathematics - Rings and Algebras
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 11/2019, Volume 69, Issue 6, pp. 1293 - 1302
Yuqun Chen and K. P. Shum in [Rees short exact sequence of S-systems, Semigroup Forum 65 (2002), 141–148] introduced Rees short exact sequence of acts and... 
Monoids
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 06/2017, Volume 27, Issue 4, pp. 421 - 454
Journal Article
Journal of Algebra, ISSN 0021-8693, 03/2017, Volume 473, Issue 1, pp. 627 - 666
We aim at studying the asymptotic properties of typical positive braids, respectively positive dual braids. Denoting by μk the uniform distribution on positive... 
Uniform distribution | Birman–Ko–Lee dual braid monoid | Asymptotic properties | Positive braid monoid | ARTIN GROUPS | MATHEMATICS | Birman-Ko-Lee dual braid monoid | GROWTH | FINITE-TYPE | TRACE MONOIDS | Algebra | Group Theory | Probability | Mathematics | Combinatorics
Journal Article
Semigroup forum, ISSN 0037-1912, 08/2020, Volume 101, Issue 1, pp. 19 - 36
Journal Article
Semigroup forum, ISSN 0037-1912, 08/2020, Volume 101, Issue 1, pp. 226 - 236
Journal Article
Algebras and representation theory, ISSN 1572-9079, 2019, Volume 23, Issue 4, pp. 1543 - 1567
Journal Article
Semigroup Forum, ISSN 0037-1912, 2/2018, Volume 96, Issue 1, pp. 105 - 125
In this paper we determine the $$G\times G$$ G×G orbits of both an even orthogonal monoid and an even special orthogonal monoid, where G is the unit group of... 
Weyl group | Classical monoid | Orthogonal monoid | Mathematics | Bruhat decomposition | Algebra | MATHEMATICS | ALGEBRAIC MONOIDS
Journal Article
Mobile Networks and Applications, ISSN 1383-469X, 2/2016, Volume 21, Issue 1, pp. 3 - 9
Journal Article
Semigroup Forum, ISSN 0037-1912, 6/2018, Volume 96, Issue 3, pp. 536 - 552
In this paper, we study the atomic structure of Puiseux monoids generated by monotone sequences. To understand this atomic structure, it is often useful to... 
Algebra | Numerical semigroups | Atomic monoids | Commutative semigroups | Mathematics | Atomic structure | Primary Puiseux monoids | Puiseux monoids | MATHEMATICS | Electric generators | Mathematics - Commutative Algebra
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 05/2016, Volume 26, Issue 3, pp. 565 - 576
The catenary degree of an element n of a cancellative commutative monoid S is a nonnegative integer measuring the distance between the irreducible... 
Betti element | commutative monoid | Factorization | catenary degree | finitely generated monoid | numerical monoid | MATHEMATICS | NUMERICAL MONOIDS | TAME DEGREE | Mathematics - Commutative Algebra
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 05/2019, Volume 223, Issue 5, pp. 1856 - 1868
In this paper we study the system of sets of lengths of non-finitely generated atomic Puiseux monoids (a Puiseux monoid is an additive submonoid of Q≥0). We... 
MATHEMATICS | MATHEMATICS, APPLIED | KRULL MONOIDS
Journal Article
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