Results 11 to 20 of about 523 (235)

Fundamental motifs and parity within the crystallographic point groups. [PDF]

open access: yesJ Appl Crystallogr
The Hasse diagram of the 3D point‐group classes is built with six motifs that have a well defined parity that determines their structure. Of the seven crystal systems, three are built with odd motifs, three are built with even motifs and the last one, the monoclinics, is `ambidextrous' as they are built with both.This paper analyzes the Hasse diagram ...
Julian MM, Macauley M.
europepmc   +2 more sources

The Category of $S$-Fuzzy Posets [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we define and consider, the category {\bf FPos}-$S$ of all $S$-fuzzy posets and action-preserving monotone maps between them. $S$-fuzzy poset congruences which play an important role in studying thecategorical properties of $S$-fuzzy ...
Leila Shahbaz
doaj   +1 more source

On Rees Factor $\mathbf{S}$-Posets Satisfying Conditions $\mathbf{(PWP_{E})}$ or $\mathbf{(PWP_E)_{w}}$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
Golchin and Rezaei introduced conditions $(PWP)$ and\linebreak $(PWP)_{w}$ in (Subpullbacks and flatness properties of $S$-posets). In this paper, we introduce conditions $(PWP_{E})$ and $(PWP_{E})_{w}$ as generalizations of  these conditions ...
Zohre Khaki   +2 more
doaj   +1 more source

Consistent posets. [PDF]

open access: yesSoft comput, 2021
AbstractWe introduce so-called consistent posets which are bounded posets with an antitone involution$$'$$′where the lower cones of$$x,x'$$x,x′and of$$y,y'$$y,y′coincide provided thatx, yare different from 0, 1 and, moreover, ifx, yare different from 0, then their lower cone is different from 0, too.
Chajda I, Länger H.
europepmc   +5 more sources

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure.
R. Khosravi, M. Roueentan
doaj   +1 more source

ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to
L. Shahbaz
doaj   +1 more source

Webs and posets [PDF]

open access: yesJournal of High Energy Physics, 2014
The non-Abelian exponentiation theorem has recently been generalised to correlators of multiple Wilson line operators. The perturbative expansions of these correlators exponentiate in terms of sets of diagrams called webs, which together give rise to colour factors corresponding to connected graphs.
Dukes, M.   +4 more
openaire   +6 more sources

The coefficients of transitivity of the posets of MM-type being the highest supercritical poset

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The representations of partially ordered sets (abbreviated as posets), introduced by L. A. Nazarova and A. V. Roiter (in matrix form) in 1972, play an important role in the modern representation theory. In his first paper on this topic M. M.
В. М. Бондаренко   +2 more
doaj   +1 more source

Categorical Properties of Down Closed Embeddings [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
Let $\mathcal M$ be a  class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A ...
Leila Shahbaz
doaj   +1 more source

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