Results 21 to 30 of about 12,395 (180)

The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

open access: yesAl-Jabar, 2020
Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]].
Wesly Agustinus Pardede   +2 more
doaj   +1 more source

A Fibrational Approach to Automata Theory [PDF]

open access: yes, 2015
For predual categories C and D we establish isomorphisms between opfibrations representing local varieties of languages in C, local pseudovarieties of D-monoids, and finitely generated profinite D-monoids.
Chen, Liang-Ting, Urbat, Henning
core   +2 more sources

On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal

open access: yesDiscrete Dynamics in Nature and Society, 2019
In this paper, we study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal.
Wei Chen
doaj   +1 more source

MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING

open access: yesBarekeng, 2021
Let R be a ring with unit elements,  strictly ordered monoids, and  a monoid homomorphism. Formed , which is a set of all functions from S to R with  are Artin and narrow.
Siti Rugayah   +2 more
doaj   +1 more source

Orders of the Renner monoids

open access: yesJournal of Algebra, 2006
A `linear algebraic monoid' is an affine variety defined over an algebraically closed field \(K\) with an associative morphism and an identity. The unit group of an algebraic monoid is an algebraic group. An algebraic monoid is `irreducible' if it is irreducible as a variety.
Li, Zhuo, Li, Zhenheng, Cao, You'an
openaire   +2 more sources

Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]

open access: yes, 2017
Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
core   +2 more sources

Eilenberg Theorems for Free [PDF]

open access: yes, 2017
Eilenberg-type correspondences, relating varieties of languages (e.g. of finite words, infinite words, or trees) to pseudovarieties of finite algebras, form the backbone of algebraic language theory.
Adámek, Jiří   +3 more
core   +2 more sources

On pomonoid of partial transformations of a poset

open access: yesOpen Mathematics, 2023
The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Al Subaiei Bana
doaj   +1 more source

The biHecke monoid of a finite Coxeter group and its representations [PDF]

open access: yes, 2012
For any finite Coxeter group W, we introduce two new objects: its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matrices, almost forms a lattice on W.
Albert   +14 more
core   +3 more sources

The omega-inequality problem for concatenation hierarchies of star-free languages [PDF]

open access: yes, 2017
The problem considered in this paper is whether an inequality of omega-terms is valid in a given level of a concatenation hierarchy of star-free languages.
Almeida, J., Klíma, O., Kunc, M.
core   +2 more sources

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