A note on additively completely regular seminearrings
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DOI: 10.1007/s00233-018-9983-9
Abstract: In the endeavour of obtaining semigroup theoretic analogues i.e., the analogues of structure theorems of completely regular semigroups in the setting of additively regular seminearrings we could obtain some results in Mukherjee et al. (Commun… read more here.
Keywords: completely regular; regular seminearrings; could obtain; note additively ... See more keywords
Isometries between completely regular vector-valued function spaces
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DOI: 10.1007/s10998-021-00413-x
Abstract: In this paper, first we study surjective isometries (not necessarily linear) between completely regular subspaces $A$ and $B$ of $C_0(X,E)$ and $C_0(Y,F)$ where $X$ and $Y$ are locally compact Hausdorff spaces and $E$ and $F$… read more here.
Keywords: completely regular; valued function; isometries completely; function spaces ... See more keywords
The congruences 𝒴∗,𝒲 on regular semigroups
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DOI: 10.1080/00927872.2025.2538653
Abstract: Abstract Let S be a regular semigroup and let Y={(a,b)∈S×S:VS(a)=VS(b)}. We first give a short proof that Y is a congruence when S is completely simple, and then we give an elegant simple proof that… read more here.
Keywords: completely regular; class; regular semigroup; congruences regular ... See more keywords
Erratum to: On Completely Regular Codes
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DOI: 10.1134/s0032946019030098
Abstract: Abstract—We correct mistakes in the formulations of Theorem 19 and Proposition 17 of the original article, published in vol. 55, no. 1, 1–45. read more here.
Keywords: erratum completely; regular codes; completely regular;