Results 21 to 30 of about 1,136,955 (184)

Amalgamation Property in the subvarieties of Gautama and Almost Gautama Algebras [PDF]

Journal of Mahani Mathematical Research
Gautama algebras were introduced in 2022, as a common generalization of regular double Stone algebras and regular Kleene Stone algebras. Even more recently, Gautama algebras were further generalized to Almost Gautama algebras (AG for short).
Juan M. Cornejo, Hanamantagouda P. Sankappanavar   +1 more
doaj   +1 more source

ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS [PDF]

Delta Journal of Science, 2005
This paper studies from the viewpoint of vector fibrations and vector spaces of cross-sections, endowed with appropriate topologies, the realm of ideas and results centered around the Weierstrass-Stone Theorem for algebras and modules of continuous ...
Siham J. Al. Sayyad
doaj   +1 more source

A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions

Bulletin of the Section of Logic, 2022
The variety \(\mathbb{DHMSH}\) of dually hemimorphic semi-Heyting algebras was introduced in 2011 by the second author as an expansion of semi-Heyting algebras by a dual hemimorphism.
Juan Manuel Cornejo, Hanamantagouda P. Sankappanavar   +1 more
doaj   +1 more source

INJECTIVE AND PROJECTIVE STONE ALGEBRAS

Duke Mathematical Journal, 1971
R. Balbes, G. Grätzer
semanticscholar   +3 more sources

Semidegenerate Congruence-modular Algebras Admitting a Reticulation

Scientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
doaj   +1 more source

Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras [PDF]

Mathematica Bohemica
We show that all finite Brouwerian semilattices have strong endomorphism kernel property (SEKP), give a new proof that all finite relative Stone algebras have SEKP and also fully characterize dual generalized Boolean algebras which possess SEKP.
Jaroslav Guričan, Heghine Ghumashyan
doaj   +1 more source

A Note on Regular De Morgan Semi-Heyting Algebras

Demonstratio Mathematica, 2016
The purpose of this note is two-fold. Firstly, we prove that the variety RDMSH1 of regular De Morgan semi-Heyting algebras of level 1 satisfies Stone identity and present (equational) axiomatizations for several subvarieties of RDMSH1.
Sankappanavar Hanamantagouda P.
doaj   +1 more source

HEMI-COMPLEMENTED LATTICES [PDF]

Journal of Algebraic Systems
The notion of hemicomplemented lattices is introduced and some of the properties of these algebras are studied. Some characterization theorems of hemicomplemented lattices are derived with the help of minimal prime D-filters, ideals, and congruences. The
Phaneendra Kumar Ananthapatnayakuni, Sambasiva Rao Mukkamala   +1 more
doaj   +1 more source

Dually quasi-De Morgan Stone semi-Heyting algebras I. Regularity [PDF]

Categories and General Algebraic Structures with Applications, 2014
This paper is the first of a two part series. In this paper, we first prove that the variety of dually quasi-De Morgan Stone semi-Heyting algebras of level 1 satisfies the strongly blended $lor$-De Morgan law introduced in cite{Sa12}.
Hanamantagouda P. Sankappanavar
doaj  

The Reticulation of a Universal Algebra [PDF]

Scientific Annals of Computer Science, 2018
The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
doaj   +1 more source