Results 1 to 10 of about 17,832 (254)

The Up-Isomorphism Theorems for Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we construct the fundamental theorem of UP-homomorphisms in UP-algebras. We also give an application of the theorem to the first, second, third and fourth UP-isomorphism theorems in UP-algebras.
Iampan Aiyared
doaj   +3 more sources

Proper UP-filters in UP-algebra [PDF]

Universal Journal of Mathematics and Applications, 2018
In this paper we introduce and discus a concept of proper UP-filters in UP-algebras. We present a connection between proper UP-filters and UP-ideals. We expect this concept of filters to play a significant role in research and understanding of algebras.
Daniel Romano
doaj   +16 more sources

A generalization of UP-algebras: Weak UP-algebras [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2021
Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a CI-algebra is a weak version of a BE-algebra, a JU-algebra is a weak version of a KU-algebra, and a BZ-algebra is a weak version of a ...
Aiyared Iampan, Daniel Abraham Romano
doaj   +2 more sources

Hyper up-algebras [PDF]

Journal of Hyperstructures, 2019
In this paper, the concept of hyper UP-algebras is introduced and some related properties are investigated. Also, theconcepts of hyper UP-ideals have been introduced and analyzed.In addition, the concept of homomorphisms between hyper UPalgebras is also ...
Daniel A. Romano
doaj   +2 more sources

On Sheffer Stroke Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
In this paper, we introduce Sheffer Stroke UP-algebra (in short, SUP-algebra) and study its properties. We demonstrate that the Cartesian product of two SUP-algebras is a SUP-algebra.
Oner Tahsin, Katican Tugce, Saeid Arsham Borumand   +2 more
doaj   +2 more sources

Classification of factorial generalized down-up algebras [PDF]

Journal of Algebra, 2012
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ...
Launois, Stéphane, Lopes, Samuel A.
core   +4 more sources

Some Results about Weak UP-algebras

Journal of Mathematics, 2022
We introduce a new class of algebras, weak UP-algebras, briefly written as WUP-algebras, as a wider class than the classes of UP-algebras and KU-algebras.
Muhammad Anwar Chaudhry, Asfand Fahad, Muhammad Imran Qureshi, Urwa Riasat   +3 more
doaj   +2 more sources

Bipolar Fuzzy Pseudo-UP Ideal Of Pseudo-UP Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]

F1000Research
In this paper, we apply the concept of bipolar fuzzy sets to pseudo-UP ideals in pseudo-UP algebras. We prove that the intersection of two bipolar fuzzy pseudo-UP ideals is also a bipolar fuzzy pseudo-UP ideal, while the union of two such ideals does not
Berhanu Assaye Alaba, Alachew Amaneh Mechderso, Teferi Getachew Alemayhu, Tilahun Mekonnen Munie   +3 more
doaj   +2 more sources

Shadows of blow-up algebras [PDF]

Tohoku Mathematical Journal, 2002
We study different notions of blow-up of a scheme X along a subscheme Y, depending on the datum of an embedding of X into an ambient scheme. The two extremes in this theory are the ordinary blow-up, corresponding to the identity, and the `quasi-symmetric
Aluffi, Paolo
core   +7 more sources

Down–Up Algebras

Journal of Algebra, 1998
The algebra generated by the down and up operators on a differential partially ordered set (poset) encodes essential enumerative and structural properties of the poset. Motivated by the algebras generated by the down and up operators on posets, we introduce here a family of infinite-dimensional associative algebras called down-up algebras. We show that
Benkart, Georgia, Roby, Tom
  +8 more sources